Sufficient conditions are obtained for every solution of first order nonlinear neutral delay forced
impulsive differential equations with positive and negative coefficients tends to a constant as t ∞.
Mathematics Subject Classification [MSC 2010]:34A37
Existence of positive solutions for fractional q-difference equations involvi...IJRTEMJOURNAL
The existence of positive solutions is considered for a fractional q-difference equation with pLaplacian operator in this article. By employing the Avery-Henderson fixed point theorem, a new result is obtained
for the boundary value problems.
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Oscillation results for second order nonlinear neutral delay dynamic equation...inventionjournals
In this paper, we establish sufficient conditions for the oscillation of solutions of second order neutral delay dynamic equations [r (t )( x (t ) p (t ) x ( (t ))) ] q (t ) f ( x ( (t ))) = 0 on an arbitrary time scale 핋.
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on...Shu Tanaka
Our paper entitled “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" was published in Journal of the Physical Society of Japan. This work was done in collaboration with Dr. Ryo Tamura (NIMS).
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
NIMSの田村亮さんとの共同研究論文 “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" が Journal of the Physical Society of Japan に掲載されました。
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
International Journal of Mathematics and Statistics Invention (IJMSI) inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Seminar Talk: Multilevel Hybrid Split Step Implicit Tau-Leap for Stochastic R...Chiheb Ben Hammouda
In biochemically reactive systems with small copy numbers of one or more reactant molecules, the dynamics are dominated by stochastic effects. To approximate those systems, discrete state-space and stochastic simulation approaches have been shown to be more relevant than continuous state-space and deterministic ones. These stochastic models constitute the theory of Stochastic Reaction Networks (SRNs). In systems characterized by having simultaneously fast and slow timescales, existing discrete space-state stochastic path simulation methods, such as the stochastic simulation algorithm (SSA) and the explicit tau-leap (explicit-TL) method, can be very slow. In this talk, we propose a novel implicit scheme, split-step implicit tau-leap (SSI-TL), to improve numerical stability and provide efficient simulation algorithms for those systems. Furthermore, to estimate statistical quantities related to SRNs, we propose a novel hybrid Multilevel Monte Carlo (MLMC) estimator in the spirit of the work by Anderson and Higham (SIAM Multiscal Model. Simul. 10(1), 2012). This estimator uses the SSI-TL scheme at levels where the explicit-TL method is not applicable due to numerical stability issues, and then, starting from a certain interface level, it switches to the explicit scheme. We present numerical examples that illustrate the achieved gains of our proposed approach in this context.
Existence of positive solutions for fractional q-difference equations involvi...IJRTEMJOURNAL
The existence of positive solutions is considered for a fractional q-difference equation with pLaplacian operator in this article. By employing the Avery-Henderson fixed point theorem, a new result is obtained
for the boundary value problems.
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Oscillation results for second order nonlinear neutral delay dynamic equation...inventionjournals
In this paper, we establish sufficient conditions for the oscillation of solutions of second order neutral delay dynamic equations [r (t )( x (t ) p (t ) x ( (t ))) ] q (t ) f ( x ( (t ))) = 0 on an arbitrary time scale 핋.
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on...Shu Tanaka
Our paper entitled “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" was published in Journal of the Physical Society of Japan. This work was done in collaboration with Dr. Ryo Tamura (NIMS).
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
NIMSの田村亮さんとの共同研究論文 “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" が Journal of the Physical Society of Japan に掲載されました。
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
International Journal of Mathematics and Statistics Invention (IJMSI) inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Seminar Talk: Multilevel Hybrid Split Step Implicit Tau-Leap for Stochastic R...Chiheb Ben Hammouda
In biochemically reactive systems with small copy numbers of one or more reactant molecules, the dynamics are dominated by stochastic effects. To approximate those systems, discrete state-space and stochastic simulation approaches have been shown to be more relevant than continuous state-space and deterministic ones. These stochastic models constitute the theory of Stochastic Reaction Networks (SRNs). In systems characterized by having simultaneously fast and slow timescales, existing discrete space-state stochastic path simulation methods, such as the stochastic simulation algorithm (SSA) and the explicit tau-leap (explicit-TL) method, can be very slow. In this talk, we propose a novel implicit scheme, split-step implicit tau-leap (SSI-TL), to improve numerical stability and provide efficient simulation algorithms for those systems. Furthermore, to estimate statistical quantities related to SRNs, we propose a novel hybrid Multilevel Monte Carlo (MLMC) estimator in the spirit of the work by Anderson and Higham (SIAM Multiscal Model. Simul. 10(1), 2012). This estimator uses the SSI-TL scheme at levels where the explicit-TL method is not applicable due to numerical stability issues, and then, starting from a certain interface level, it switches to the explicit scheme. We present numerical examples that illustrate the achieved gains of our proposed approach in this context.
Quantum Annealing for Dirichlet Process Mixture Models with Applications to N...Shu Tanaka
Our paper entitled “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" was published in Neurocomputing. This work was done in collaboration with Dr. Issei Sato (Univ. of Tokyo), Dr. Kenichi Kurihara (Google), Professor Seiji Miyashita (Univ. of Tokyo), and Prof. Hiroshi Nakagawa (Univ. of Tokyo).
http://www.sciencedirect.com/science/article/pii/S0925231213005535
The preprint version is available:
http://arxiv.org/abs/1305.4325
佐藤一誠さん(東京大学)、栗原賢一さん(Google)、宮下精二教授(東京大学)、中川裕志教授(東京大学)との共同研究論文 “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" が Neurocomputing に掲載されました。
http://www.sciencedirect.com/science/article/pii/S0925231213005535
プレプリントバージョンは
http://arxiv.org/abs/1305.4325
からご覧いただけます。
On Convergence of Jungck Type Iteration for Certain Contractive Conditionsresearchinventy
In this article we prove the strong convergence result for a pair of nonself mappings using Jungck S- iterative scheme in Convex metric spaces satisfying certain contractive condition. The results are the generalization of some existing results in the literature
Lyapunov-type inequalities for a fractional q, -difference equation involvin...IJMREMJournal
In this paper, we present new Lyapunov-type inequalities for a fractional boundary value problem of
fractional
q, -difference equation with p-Laplacian operator. The obtained inequalities are used to obtain a
lower bound for the eigenvalues of corresponding equations.
Computational Motor Control: Optimal Control for Deterministic Systems (JAIST...hirokazutanaka
This is lecure 2 note for JAIST summer school on computational motor control (Hirokazu Tanaka & Hiroyuki Kambara). Lecture video: https://www.youtube.com/watch?v=lNH1q4y1m-U
Estimate the hidden States of a Non-linear Dynamic Stochastic System from Noisy Measurements. Estimation is a prerequisite. The Probability Theory summary is included.
The presentation is at graduate level in math and engineering.
For comments please connect me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://www.solohermelin.com.
The Cramér-Rao Lower Bound on the Variance of the Estimator of continuous SISO, MIMO and Digital Systems.
Probability and Estimation are prerequisite.
For comments please connect me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://solohermelin.com.
Unconventional phase transitions in frustrated systems (March, 2014)Shu Tanaka
Presentation file using the workshop which was held at the University of Tokyo (March 26, 2014). The presentation was based on two papers:
- Physical Review B Vol. 87, 214401 (2013)
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.214401
(preprint: http://arxiv.org/abs/1209.2520)
(A brief explanation: http://www.slideshare.net/shu-t/prb-87214401slideshare)
- Physical Review E Vol. 88, 052138 (2013)
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.052138
(preprint: http://arxiv.org/abs/1308.2467)
(A brief explanation: http://www.slideshare.net/shu-t/interlayerinteraction-dependence-of-latent-heat-in-the-heisenberg-model-on-a-stacked-triangular-lattice-with-competing-interactions)
2014年3月26日に東京大学で開催された「統計物理学の新しい潮流」での講演スライドです。この講演は、以下の2つの論文に関係するものです。
- Physical Review B Vol. 87, 214401 (2013)
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.214401
(preprint: http://arxiv.org/abs/1209.2520)
(A brief explanation: http://www.slideshare.net/shu-t/prb-87214401slideshare)
- Physical Review E Vol. 88, 052138 (2013)
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.052138
(preprint: http://arxiv.org/abs/1308.2467)
(A brief explanation: http://www.slideshare.net/shu-t/interlayerinteraction-dependence-of-latent-heat-in-the-heisenberg-model-on-a-stacked-triangular-lattice-with-competing-interactions)
Stability analysis for nonlinear impulsive optimal control problemsAI Publications
We consider the generic stability of optimal control problems governed by nonlinear impulsive evolution equations. Under perturbations of the right-hand side functions of the controlled system, the results of stability for the impulsive optimal control problems are proved given set-valued theory.
It is a new theory based on an algorithmic approach. Its only element
is called nokton. These rules are precise. The innities are completely
absent whatever the system studied. It is a theory with discrete space
and time. The theory is only at these beginnings.
International journal of engineering and mathematical modelling vol2 no3_2015_2IJEMM
Mixed nite element approximation of reaction front propagation model in porous media is presented. The model consists of system of reaction-diffusion equations coupled with the equations of motion under the Darcy law. The existence of solution for the semi-discrete problem is established. The stability of the fully-discrete problem is
analyzed. Optimal error estimates are proved for both semi-discrete and fully-discrete approximate schemes.
Experimental and Analytical Investigation of Drilling of Sandwich Composites:...IOSR Journals
A composite material is made out of a mixture or a combination of two or more distinctly differing
materials which are insoluble in each other and differ in form or chemical composition. The technological and
commercial interest in composite material lies in their superior properties of strength-to-weight, stiffness-toweight,
fatigue and thermal expansion compared to metals. Extensive use of composite in application such as
rockets, satellites, missiles, light combat aircraft, advanced light helicopter and trainer air craft has shown that
India is on par with the advanced countries in the development and use of composites in this area.
Drilling is probably the most important conventional mechanical process and it is the most widely used
machining operation. Prediction of cutting forces for any set of cutting parameters is essential in optimal design
and manufacturing of products. It has been predicted that most of the problem associated with hole making
operation, such as drilling, can be attributed to the force generated during cutting operation. Many
developments and experiments are going on drilling of Sandwich composite for damage free drilling along with
the quality of the hole and the effect of tool geometry and tool material.
This paper aims at the comprehensive analytical and experimental investigation work done on the
composites material. The conclusion of the paper discusses the development and outlines the trends for the
research in this field.
“Influence of Behavioral Biases on Cognitive Abilities”IOSR Journals
The study aimed toanalyzethe role of individual’s level of cognitive abilities in making financial decisions and whether these abilities are affected by their behavioral biases. Cognitive reflection test (Fredrick, 2005) was used to investigate that whether behavioral biases that play major role in financial decisions are relatedwith cognitive abilities. The research found that individuals who scored high on CRT are less likely to overconfidence, conjunction fallacy and conservatism biases. The research also related CRT with subjects such as time preferences and risk preferences and found that high score group are more patient and more risk seeker in domain of gain and less risk seeker in domain of losses. However behavioral biases are lower for people having higher cognitive abilities but they are still present in financial decisions
Quantum Annealing for Dirichlet Process Mixture Models with Applications to N...Shu Tanaka
Our paper entitled “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" was published in Neurocomputing. This work was done in collaboration with Dr. Issei Sato (Univ. of Tokyo), Dr. Kenichi Kurihara (Google), Professor Seiji Miyashita (Univ. of Tokyo), and Prof. Hiroshi Nakagawa (Univ. of Tokyo).
http://www.sciencedirect.com/science/article/pii/S0925231213005535
The preprint version is available:
http://arxiv.org/abs/1305.4325
佐藤一誠さん(東京大学)、栗原賢一さん(Google)、宮下精二教授(東京大学)、中川裕志教授(東京大学)との共同研究論文 “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" が Neurocomputing に掲載されました。
http://www.sciencedirect.com/science/article/pii/S0925231213005535
プレプリントバージョンは
http://arxiv.org/abs/1305.4325
からご覧いただけます。
On Convergence of Jungck Type Iteration for Certain Contractive Conditionsresearchinventy
In this article we prove the strong convergence result for a pair of nonself mappings using Jungck S- iterative scheme in Convex metric spaces satisfying certain contractive condition. The results are the generalization of some existing results in the literature
Lyapunov-type inequalities for a fractional q, -difference equation involvin...IJMREMJournal
In this paper, we present new Lyapunov-type inequalities for a fractional boundary value problem of
fractional
q, -difference equation with p-Laplacian operator. The obtained inequalities are used to obtain a
lower bound for the eigenvalues of corresponding equations.
Computational Motor Control: Optimal Control for Deterministic Systems (JAIST...hirokazutanaka
This is lecure 2 note for JAIST summer school on computational motor control (Hirokazu Tanaka & Hiroyuki Kambara). Lecture video: https://www.youtube.com/watch?v=lNH1q4y1m-U
Estimate the hidden States of a Non-linear Dynamic Stochastic System from Noisy Measurements. Estimation is a prerequisite. The Probability Theory summary is included.
The presentation is at graduate level in math and engineering.
For comments please connect me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://www.solohermelin.com.
The Cramér-Rao Lower Bound on the Variance of the Estimator of continuous SISO, MIMO and Digital Systems.
Probability and Estimation are prerequisite.
For comments please connect me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://solohermelin.com.
Unconventional phase transitions in frustrated systems (March, 2014)Shu Tanaka
Presentation file using the workshop which was held at the University of Tokyo (March 26, 2014). The presentation was based on two papers:
- Physical Review B Vol. 87, 214401 (2013)
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.214401
(preprint: http://arxiv.org/abs/1209.2520)
(A brief explanation: http://www.slideshare.net/shu-t/prb-87214401slideshare)
- Physical Review E Vol. 88, 052138 (2013)
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.052138
(preprint: http://arxiv.org/abs/1308.2467)
(A brief explanation: http://www.slideshare.net/shu-t/interlayerinteraction-dependence-of-latent-heat-in-the-heisenberg-model-on-a-stacked-triangular-lattice-with-competing-interactions)
2014年3月26日に東京大学で開催された「統計物理学の新しい潮流」での講演スライドです。この講演は、以下の2つの論文に関係するものです。
- Physical Review B Vol. 87, 214401 (2013)
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.87.214401
(preprint: http://arxiv.org/abs/1209.2520)
(A brief explanation: http://www.slideshare.net/shu-t/prb-87214401slideshare)
- Physical Review E Vol. 88, 052138 (2013)
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.052138
(preprint: http://arxiv.org/abs/1308.2467)
(A brief explanation: http://www.slideshare.net/shu-t/interlayerinteraction-dependence-of-latent-heat-in-the-heisenberg-model-on-a-stacked-triangular-lattice-with-competing-interactions)
Stability analysis for nonlinear impulsive optimal control problemsAI Publications
We consider the generic stability of optimal control problems governed by nonlinear impulsive evolution equations. Under perturbations of the right-hand side functions of the controlled system, the results of stability for the impulsive optimal control problems are proved given set-valued theory.
It is a new theory based on an algorithmic approach. Its only element
is called nokton. These rules are precise. The innities are completely
absent whatever the system studied. It is a theory with discrete space
and time. The theory is only at these beginnings.
International journal of engineering and mathematical modelling vol2 no3_2015_2IJEMM
Mixed nite element approximation of reaction front propagation model in porous media is presented. The model consists of system of reaction-diffusion equations coupled with the equations of motion under the Darcy law. The existence of solution for the semi-discrete problem is established. The stability of the fully-discrete problem is
analyzed. Optimal error estimates are proved for both semi-discrete and fully-discrete approximate schemes.
Experimental and Analytical Investigation of Drilling of Sandwich Composites:...IOSR Journals
A composite material is made out of a mixture or a combination of two or more distinctly differing
materials which are insoluble in each other and differ in form or chemical composition. The technological and
commercial interest in composite material lies in their superior properties of strength-to-weight, stiffness-toweight,
fatigue and thermal expansion compared to metals. Extensive use of composite in application such as
rockets, satellites, missiles, light combat aircraft, advanced light helicopter and trainer air craft has shown that
India is on par with the advanced countries in the development and use of composites in this area.
Drilling is probably the most important conventional mechanical process and it is the most widely used
machining operation. Prediction of cutting forces for any set of cutting parameters is essential in optimal design
and manufacturing of products. It has been predicted that most of the problem associated with hole making
operation, such as drilling, can be attributed to the force generated during cutting operation. Many
developments and experiments are going on drilling of Sandwich composite for damage free drilling along with
the quality of the hole and the effect of tool geometry and tool material.
This paper aims at the comprehensive analytical and experimental investigation work done on the
composites material. The conclusion of the paper discusses the development and outlines the trends for the
research in this field.
“Influence of Behavioral Biases on Cognitive Abilities”IOSR Journals
The study aimed toanalyzethe role of individual’s level of cognitive abilities in making financial decisions and whether these abilities are affected by their behavioral biases. Cognitive reflection test (Fredrick, 2005) was used to investigate that whether behavioral biases that play major role in financial decisions are relatedwith cognitive abilities. The research found that individuals who scored high on CRT are less likely to overconfidence, conjunction fallacy and conservatism biases. The research also related CRT with subjects such as time preferences and risk preferences and found that high score group are more patient and more risk seeker in domain of gain and less risk seeker in domain of losses. However behavioral biases are lower for people having higher cognitive abilities but they are still present in financial decisions
Decision Making and Autonomic ComputingIOSR Journals
Abstract: Autonomic Computing refers to the self-managing characteristics of distributed computing
resources, adapting to unpredictable changes while hiding intrinsic complexity to operators and users.
An autonomic system makes decisions on its own, using high-level policies; it will constantly check and
optimize its status and automatically adapt itself to changing conditions. As widely reported in literature, an
autonomic computing framework might be seen composed by autonomic components interacting with each
other.
An Autonomic Computing can be modeled in terms of two main control loops (local and global) with
sensors (for self-monitoring), effectors (for self-adjustment), knowledge and planner/adapter for exploiting
policies based on self- and environment awareness.
The goal of autonomic computing is to create systems that run themselves, capable of high-level functioning
while keeping the system's complexity invisible to the user.
General Terms: Autonomic systems, Self-configuration, Self-healing, Self-optimization, Self-protection.
Keywords: Know itself, reconfigure, recover from extraordinary events, expert in self-protection,
Ethernet Enabled Digital I/O Control in Embedded SystemsIOSR Journals
Abstract: This paper presents very simple and economical way to provide Ethernet connectivity to micro controller based embedded systems. This system uses arm7 controller to store the main application source code, web pages and TCP/IP stack which is a vital element of the system software. an Ethernet controller chip,ENC28J60 is used to handle the Ethernet controller chip.ENC28J60 is used to handle the Ethernet communications and is interfaced with the host micro controller using SPI pins. There are several I/O pins available at the micro controller which are used to interface with sensors and relays for monitoring and controlling operations. Now a day, internet has spread worldwide and most of the internet connections use Ethernet as media for data transfer. in industries or in home appliances ,most of the time we need to monitor and control different parameters using micro controllers. Once we enable Ethernet interface to such systems, we can communicate with them remotely over the internet Keywords:Ethernet controller; TCP/IP stack; serialperipheral interface (SPI),ENC28J60, Triac,Sensors
A Study on Mid-Career Blues with refers to Hyundai Motor India Limited, Irung...IOSR Journals
This research paper was attempted to determine the human resource management which focused on
all issues related to „people‟ in the organization. They are undoubtedly the most important assets. Therefore the
special care must be exercised for managing them. Human resource management is concerned with activities
involved in acquisition, development, motivation and maintenance of people. These are the important to achieve
the organizational goals. The aim of this research was to examine the blue formation in HMIL. The significance
of this research intended to help HMIL to know about the employee career prospects & also analyze this factor
which influence the organization productivity.100 samples were collected from employees (Middle level
employee) of different departments [such as “HR – Recruitment, Industrial & Employee Relation, Training &
Development”, “Body Shop”, “Paint Shop” & “Press”] in HMIL.
A Study on Optimization using Stochastic Linear ProgrammingIOSR Journals
The self Help Group (SHG) is group of rural poor who have organized themselves into a group for eradicationof poverty. The members of the group belong to families below the poverty line. This will help the families of occupational groups like agricultural labourers, marginal farmers, designers and artisans marginally above the poverty line, or who may have been excluded from the Below Poverty Line (BPL) list to become members of the Self Help Group. A self help group consists of two categories. One named as magalier thittam and another is non- magalier thittam. The factors of Self help group categories are random in nature. These factors can be handled using stochastic linear programming problem (SLPP). Here the data is collected from Tuticorin district. The optimization technique such as two stage programming and chance constrained programming can be adopted for SLPP. In this paper chance constrained programming (CPP) is used to obtain optimal solution.
2-Dimensional Wavelet pre-processing to extract IC-Pin information for disarr...IOSR Journals
Abstract: Due to higher processing power to cost ratio, it is now possible to replace the manual detection methods used in the IC (Integrated Circuit) industry by Image-processing based automated methods, to detect a broken pin of an IC connected on a PCB during manufacturing, which will make the process faster, easier and cheaper. In this paper an accurate and fast automatic detection method is used where the top view camera shots of PCBs are processed using advanced methods of 2-dimensional discrete wavelet pre-processing before applying edge-detection. Comparison with conventional edge detection methods such as Sobel, Prewitt and Canny edge detection without 2-D DWT is also performed. Keywords :2-dimensional wavelets, Edge detection, Machine vision, Image processing, Canny.
Fluidization Characteristics of Nano Particles with the Assist of StirrerIOSR Journals
Fluidization of ultrafine solid particles is widely used in a variety of industrial applications because of its
unusual capability of continuous powder handling, good mixing, large gas–solid contact area, and very high rates of
heat and mass transfer. As the particle size decreases the cohesive forces between particles increases. Therefore,
fluidization of ultrafine particles becomes much more difficult as compared to the larger size particles and it needs efficient method. In the present work, the fluidization experiments were conducted using air as fluidizing media and SiO2, ZnO and Al2O3
nano particles, with a size ranging from 15 to 30 nm in 2-dimensional fluidized bed with the assist of stirrer.
The fluidization behavior of the nanoparticle, including the fluidization regime, the minimum fluidization velocity, and the
bed expansion are also investigated. . The results showed that smoother fluidization was observed with increasing agitation
speed, because the agglomeration and channeling were reduced by the mechanical agitation. It was found that with the assist of stirrer ,by increasing in the speed of stirrer initial bed voidage increased and terminal velocity and agglomerate diameter decreased.
Performance Analysis of Rake Receivers in IR–UWB System IOSR Journals
Suppression of interference in time domain equalizers is attempted for high data rate impulse
radio (IR) ultra wideband communication system. The narrow band systems may cause interference with UWB
devices as it is having very low transmission power and the large bandwidth. SRAKE receiver improves system
performance by equalizing signals from different paths. This enables the use of SRAKE receiver techniques in IR
UWB systems A semi analytical approach is used to investigate the BER performance of SRAKE receiver on
IEEE 802.15.3a UWB channel models. Study on non-line of sight indoor channel models (both CM3 and CM4)
illustrates that bit error rate performance of SRake receiver with NBI performs better than that of Rake receiver
without NBI
Effect of glycine as an impurity on the properties of Epsomite single crystalsIOSR Journals
Epsomite (MgSO4.7H2O) is a hydrogen bonded crystal having a wide range of applications in various fields. Pure and glycine added Epsomite (a total of six) single crystals have been grown and characterized in order to investigate the effect of glycine as an impurity on the properties of Epsomite crystals.The densities and lattice parameters observed indicate that the impurity molecules have entered into the crystal matrix. The grown crystals exhibit good optical transparency in the wavelength range 210-1100 nm. Second harmonic generation measurements indicate that they are nonlinear optically active. Results obtained through microhardness measurements follow the normal indentation size effect. Electrical (AC and DC) measurements indicate that all the six crystals grown in the present study exhibit a normal dielectric behavior and the electrical conduction is understood to be due to the protonic movement. Moreover, glycine addition is found to reduce εr value significantly indicating the possibility of Epsomite crystal becoming a low -εr value dielectric material.
Chitosan capped Silver nanoparticles used as Pressure sensorsIOSR Journals
In the present work, we report the synthesis and characterization of silver nanoparticles, capped with chitosan (biopolymer ). The majority of the particles produced in this way had sizes around 18 nm. Composite films of capped silver nanoparticles and chitosan polymer were studied to understand the charge transport under different pressure. Films of different compositions were prepared to measure current voltage curves across the film thickness. The results reveal that these materials exhibit electrical conductivity as predicted by the “classical theory of percolation”. Pressure dependent electrical conductivity and these composites can be explored to develop low cost pressure sensors.
Comparative Analysis of Varios Diversity Techniques for Ofdm SystemsIOSR Journals
In this paper, three transmit diversity techniques are proposed that use extra transmit antennas to
obtain additional diversity. An analytical expression for the signal-to-noise ratio (SNR) and bit-error-rate at the
output of a three-branch maximal ratio combining, equal gain combining and selection diversity system is given.
The three branches are assumed to be Rayleigh fading, correlated with the BPSK modulation. Measurements of
the signal-to-noise ratio and bit-error-rate after selection, equal gain combining and maximal ratio combining
were made in Rayleigh fading channels and compared with the analytical results. Also presented are the exact
analytical average probabilities of bit error for coherent binary phase-shift keying for three-branch maximal
ratio combining, equal gain combining and selective diversity for Rayleigh fading channel. All these three
branches is compared on the basis of signal to noise ratio and bit error rate with the increasing no. of receiver.
This work confirms the benefits of choosing the maximal ratio combining instead of equal gain combining and
selection diversity by measuring the performances of these three branches for SNR and BER.
On Hadamard Product of P-Valent Functions with Alternating TypeIOSR Journals
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Extrachromosomal Inheritance
Slide 2: Introduction to Extrachromosomal Inheritance
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Bibliography
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Asymptotic Behavior of Solutions of Nonlinear Neutral Delay Forced Impulsive Differential Equations with Positive and Negative Coefficients
1. IOSR Journal of Mathematics (IOSR-JM)
e-ISSN: 2278-5728,p-ISSN: 2319-765X, Volume 6, Issue 2 (Mar. - Apr. 2013), PP 62-69
www.iosrjournals.org
www.iosrjournals.org 63 | Page
Asymptotic Behavior of Solutions of Nonlinear Neutral Delay
Forced Impulsive Differential Equations with Positive and
Negative Coefficients
Y.Balachandran, S.Pandian, G.Purushothaman,
1
Department of Mathematics, Presidency College, Chennai-5, Tamilnadu, India
2
College of arts and science, Thiruvalluvar University, Vandavasi, Tamilnadu, India
3
Department of Mathematics, St.Joseph’s College of Engineering, Chennai-119, Tamilnadu, India
Abstract:Sufficient conditions are obtained for every solution of first order nonlinear neutral delay forced
impulsive differential equations with positive and negative coefficients tends to a constant as t ∞.
Mathematics Subject Classification [MSC 2010]:34A37
Keywords: Asymptotic behavior, neutral, non linear, forced, differential equation, impulse.
I. Introduction
In recent years, the theory of impulsive differential equations had obtained much attention and a number of
papers have been published in this field. This is due to wide possibilities for their applications in Physics,
Chemical technology, Biology and Engineering [1,2].The asymptotic behavior of solutions of various impulsive
differential equations are systematically studied (see [4,7-10]). In [10] the authors investigated the asymptotic
behavior of solutions of following nonlinear impulsive delay differential equations with positive and negative
coefficients
x(t) R(t)x(t τ) P(t) (x(t ρ)) Q(t) (x(t σ)) 0, t t ,t t
0 k
f f
k k
k k
t t
k k k k
t ρ t σ
x(t ) b x(t ) (1 b ) P(s ρ) (x(s))ds Q(s σ) (x(s))dsf f
for k = 1,2,…
In this paper, we adapt the same technique applied in [10] and obtain the asymptotic behavior of solutions
of nonlinear neutral delay forced impulsive differential equations with positive and negative coefficients
II. Preliminaries
Consider the nonlinear neutral delay forced impulsive differential equations with positive and negative
coefficients
x(t) R(t)x(t τ) P(t) (x(t ρ)) Q(t) (x(t σ)) ( ), t t ,t t
0 k
f f e t (1)
k
k
k
k k
t
k k k k
t ρ
t
t σ t
(2)
x(t ) b x(t ) (1 b ) P(s ρ) (x(s))ds
Q(s σ) (x(s))ds ( 1) e(s)ds, 1,2,...k
f
f b k
where τ > 0, ρ ≥ σ > 0,
k
k
k10 tlimwithttt0 , f C(R,R), R(t) PC([t0,∞),R), P(t),
Q(t),e(t) C([t0,∞),[0,∞)) and bk are constants k = 1,2,3…, )(
ktx denotes the left limit of x(t) at t = tk. With
equations (1) and (2), one associates an initial condition of the form
x(t0+s) = υ(s), s[-,0], = max{τ,ρ} (3)
where υPC([-,0],R)={υ : [-,0]R such that υ is continuous everywhere except at the finite number of
points and υ(+
) and υ(–
) exist with υ(+
) = υ()}.
A real valued function x(t) is said to be a solution of the initial value problem (1)-(3) if
(i) x(t) = υ(t-t0) for t0- ≤ t ≤ t0, x(t) is continuous for t ≥ t0 and t ≠ tk , k = 1,2,3,…
(ii) τ)R(t)x(t(t) x is continuously differentiable for t > t0, t ≠ tk t ≠ tk+τ, t ≠ tk+ρ, t ≠ tk+σ,
k = 1,2,3,…and satisfies (1).
2. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
www.iosrjournals.org 64 | Page
(iii) for t = tk , )x(t k
and )x(t k
exist with )x(t k
= )x(t k and satisfies (2).
A solution of (1)-(2) is said to be nonoscillatory if this solution is eventually positive or eventually
negative. Otherwise this solution is said to be oscillatory. A more general form of (1)-(2) was considered in [5-
6] in which the existence and uniqueness of solutions and stability was studied. The main purpose of this paper
is to obtain the sufficient conditions for every solution of (1)-(2) tends to constant as t∞. Our results
generalize the results of [10].
III. Main results
Theorem 1. Assume that the following conditions hold
(A1) there is a constant C > 0 such that ,C)( xxfx xR, x f (x) > 0 for x≠0; (4)
(A2) tk-τ is not an impulsive point, 0< bk <1 for k = 1,2,3,… and k
k 1
(1 b ) ;
(A3) 1R(t)lim
t
, )R(tb)R(t kkk
and ( ) 0
t
e s ds
as t∞; (5)
(A4) H(t) = P(t) – Q(t + σ – ρ) > 0 for t ≥t* = t0+ρ-σ (6)
(A5) 0dsσ)Q(slim
σt
ρt
t
(7)
(A6)
t t
t
t ρ t ρ
Q(t σ) H(t τ ρ) 2
lim sup H(s ρ)ds H(s 2 )du μ 1
H(t ρ) H(t ρ) C
(8)
then every solution of (1)-(2) tends to a constant as t∞.
Proof. Let x(t) be any solution of (1)-(2) we shall prove that x(t)lim
t
exists and is finite. From (1) and (6)
( ) ( ) ( ) ( ) ( ( )) ( ) ( ( )) ( ) ( ) ( ( )) 0
t t
t t t
x t R t x t H s f x s ds Q s f x s ds e s ds H t f x t
(9)
From (2)
( ) ( ) (1 ) ( ) ( ( )) ( ) ( ( )) ( ) ( ( ))
( 1) ( ) ,
k k k
k k k
k
t t t
k k k k
t t t
k
t
x t b x t b P s f x s ds Q s f x s ds Q s f x s ds
b e s ds
(10)
( ) (1 ) ( ) ( ( )) ( ) ( ( ))
( 1) ( ) , 1,2,3,...,
k k
k k
k
t t
k k k
t t
k
t
b x t b Q s f x s ds H s f x s ds
b e s ds k
From (5) and (8) we can choose an ε > 0 sufficiently small that + ε < 1 and
CtH
tH
dssH
tH
tQ
sdsH
t
t
t
t
t
2
)(
)(
1)()2(
)(
)(
)(suplim
(11)
also we select T > t0 sufficiently large such that εμR(t) for t ≥ T (12)
From (4) and (12) we have
))(()()()( 22
txftxtR , t ≥ T (13)
Let we introduce three functional
2
1( ) ( ) ( ) ( ) ( ) ( ( )) ( ) ( ( )) ( )
t t
t t t
W t x t R t x t H s f x s ds Q s f x s ds e s ds
3. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
www.iosrjournals.org 65 | Page
t
t
t
s
dsduuxfuQsHtW ))(()()2()( 2
2
2 2
3 ( ) ( 2 ) ( ) ( ( )) ( ) ( ) ( ( ))
2 ( ) ( ) ( ( )) ,
t t t
t s t
t t
W t H s H u f x s du ds H s f x s ds
e s H u f x u du ds
Using (9) and the inequality 2ab≤a2
+b2
2 2 21
2 2 2
( ) 2 ( ) ( ( )) ( ) ( ) ( ) ( ( )) ( ) ( )
( ) ( ) ( ) ( ) ( ) ( )
2 ( ) ( ( )) ( )
t
t
t t t
t t t
t
dW
H t x t f x t R t x t R t f x t H s f x t ds
d t
H s f x s ds Q s f x t ds Q s f x s ds
H t f x t e s ds
t
t
t
t
dssxfsQtHdssHtxftQ
dt
dW
)()()()2()()( 222
t
t
t
t
dssxfsQtHdssHtxftQ )()()()2()()( 22
2 23
2 2
( ) ( ) ( 2 ) ( ) ( ) ( )
( ) ( ) ( ) ( ) ( ) ( ) 2 ( ) ( ) ( ( )) .
t t
t t
t
dW
H t f x t H s ds H t H s f x s ds
dt
H t f x t H t f x t e s H t f x t ds
Set W(t) = W1(t) +W2(t) +W3(t); and then using (12) and (13), we obtain
t
t
t
t
t
t
dssQtxfdssHtxf
dssHtxftxftxftxtH
dt
dW
)()()2()(
)()()()())(()(2)(
22
22
)(
)(
)( 2
txf
tH
tQ
t
t
dssH )2(
)(
)(
)()( 2
tH
tH
txf
t
t
t
t
dssH
tH
tQ
dssH
txf
tx
txftH
)2(
)(
)(
)(
))((
)(2
)()( 2
)(
)(
1)()(
tH
tH
dssQ
t
t
From (4) and (7), we have
t ρ t
2
t ρ t ρ
2 Q(t σ)
( ) ( ) H(s ρ)ds H(s 2 )ds
C H(t ρ)
dW
H t f x t
dt
H(t τ ρ)
(μ ε) 1 0
H(t ρ)
t≠tk (14)
As t =tk we have
2
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
k k
k k k
t t
k k k k
t t t
W t x t R t x t H s f x s ds Q s f x s ds e s ds
4. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
www.iosrjournals.org 66 | Page
2 2
( 2 ) ( ) ( ) 2
k k k k
k k
t t t t
t s t ρ s
H s Q u f x u duds H(s ρ) H(u ρ)f x(u) duds
2
2 ( ) ( ) ( ( ))
k
k k k
t s
t τ t t
(μ ε) H(s τ ρ)f x(s) ds e s H u f x u du ds
2
2
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
k k
k k k
t t
k k k k
t t t
b x t R t x t H s f x s ds Q s f x s ds e s ds
k
k
kk
k
k t
t
t
s
t
t
t
s
dsduuxfuHsHdsduuxfuQsH )()()2()()()2( 22
2
( ) ( ) ( ) 2 ( ) ( ) ( ( ))
k
k k k
t s
t t t
H s f x s ds e s H u f x u du ds
= )(
ktW (15)
Which together with (7), (8) and (14) we get ),()()( 0
12
tLtxftH (16)
and hence for any h ≥ 0 we have 0)()(lim 2
dssxfsH
t
ht
t
(17)
On the other hand by (8), (14), (15) we see that W(t) is eventually decreasing.
dsduuxfuQsHtW
t
t
t
s
)()()2()(0 2
2
22
( ) ( ) 0 as t
t
t
H s f x u du
C
2 2
Also, ( 2 ) ( ) ( ) ( ) ( ) ( )
t t t
t s t
H s H u f x u du ds H s f x s ds
tasdssxfsHduuxfuH
C
t
t
t
t
0)()(2)()(
2 22
and ( ) ( ) ( ( )) ( ) ( ) ( ( )) 0as
s
t t t t
e s H u f x u du ds e s H u f x u du ds t
Hence
)(lim)(lim 1 tWtW
tt
, which is finite. That is
t
lim
2
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
t t
t t t
x t R t x t H s f x s ds Q s f x s ds e s ds
(18)
Next we shall prove that
t
lim ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
t t
t t t
x t R t x t H s f x s ds Q s f x s ds e s ds
exists and is finite.
Let ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
t t
t t t
y t x t R t x t H s f x s ds Q s f x s ds e s ds
From (9) we have 0)()()( txftHty and from (10) we have
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
k k
k k k
t t
k k k k k
t t t
y t b x t R t x t H s f x s ds Q s f x s ds e s ds
)(
kk tyb
5. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
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Therefore system (9)-(10) can be rewritten as ktt,tt,)t(xf)t(H)t(y 00
)()(
kkk tybty k=1,2,… (19)
In view of (18) we have
)(lim 2
ty
t
. (20)
If = 0, then 0)(lim 2
ty
t
.
If > 0 , then there exists a sufficiently large T1 such that y(t) ≠ 0 for any t>T1.Otherwise there is a sequence
,..,..,, 321 k with
k
k
lim such that y(τk) = 0 so y2
(τk)=0 as k∞ .This is contradiction to >
0.Therefore for tk >T1 , t[tk,tk+1) we have y(t) > 0 or y(t) < 0 because y(t) is continuous on [tk,tk+1). Without loss
of generality we assume that y(t) > 0 on t[tk,tk+1), it follows that y(tk+1) )( 11
kk tyb >0 , thus y(t) > 0 on
[tk+1,tk+2). By induction, we can conclude that y(t) >0 on [tk,∞).
From (20) we have
)(lim ty
t t
lim ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
t t
t t t
x t R t x t H s f x s ds Q s f x s ds e s ds
(21)
where λ and is finite.
In view of (19) we have
t
t ttt
kk
k
tytytytydssxfsH
)()()()()()(
ttt
kkk
k
tytybtyty
)()()()(
ttt
kk
k
tybtyty
)(1)()(
Let t ∞
1
1
k
kb
, we have
t
lim 0)()(
t
t
dssxfsH
(22)
By condition
t
lim ( ) 0
t
e s ds
and from (21), we have
t
lim
t
t
dssxfsQtxtRtx )()()()()( (23)
Next we shall prove that
t
lim )()()( txtRtx exists and is finite. To prove this, first prove that )(tx is
bounded. If )(tx is unbounded then there is a sequence {sn} such that sn ∞, )( _
nsx ∞ as n ∞ and
x(t)Sup)x(s
n0 stt
_
n
where if sn is not an impulsive point then )( _
nsx = )( nsx . Thus from (7) we have
n
n
s
s
nnn dssxfsQsxsRsx )()()()()(
nasdssQMsx
n
n
s
s
n )()(1)(
which contradicts (23). So )(tx is bounded. Also by (7) we obtain
tasdssxsQMdssxfsQdssxfsQ
t
t
t
t
t
t
0)()()()()()(0
which together with (23) gives
t
lim )()()( txtRtx (24)
Next we prove that )(lim tx
t
exists and finite .
6. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
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If = 0 then
)(lim tx
t
which is finite.
If 0< < 1 then R(t) is eventually positive or negative and also we can find a sufficiently large T2 such that
1)( tR for t > T2.. Set Ltx
t
)(suplim , ltx
t
)(inflim , then we can choose two sequences {an}
and {bn} such that an ∞ , bn∞ as n∞ and .)(lim,)(lim lbxLax n
n
n
n
Since 1)( tR for t > T2,
we have the following two possible cases.
Case 1. If 0<R(t) <1 for t>T2 then
n
lim lLaxaRax nnn )()()( and
n
lim LlbxbRbx nnn )()()(
Therefore L+l ≤ l+L. i.e.). L ≤ l . But L ≥ l , it follows that L = l. Hence L = l = λ/(1+).
which shows that x(t)lim
t
exists and finite.
Case 2. If -1<R(t) < 0 for t>T2 then )()()()()(lim)(lim
nnnnn
n
n
n
axaRaxaRaxax
therefore l = λ+l . i.e. l = λ/ (1- ).
Similarly )()()()()(lim)(lim
nnnnn
n
n
n
bxbRbxbRbxbx
Therefore L = λ+L i.e.) L = λ/(1-).Finally we get, L= l = λ/(1-). This shows that
)(lim tx
t
exists and finite.
Theorem 2. Assume that the conditions in theorem (1) hold, then every oscillatory solution of (1)-(2) tends to
zero as t ∞.
Theorem 3. The conditions in theorem (1) together with
(i) for any > 0 there exists > 0 such that )(xf for x and (25)
(ii)
0t
dt)t(H
(26) imply that every solution of (1) –(2) tends to zero as t∞.
Proof. By theorem (2) we only have to prove that every nonoscillatory solution of (1) tends to zero as t∞.Let
x(t) be an eventually positive solution of (1). We shall prove 0)(lim
tx
t
. By theorem (1) we rewrite (1)-(2)
in the form 0)()()( txftHty .
Integrating from t0 to t on both sides we get
ttt
kk
t
t k
tybtytydssxftH
00
)()1()()()()( 0
Using
1
)1(
k
kb and (21) we get
0
)()(
t
dssxftH
which together with (26) we get 0)((inflim
txf
t
.We shall prove that 0)(inflim
tx
t
.Let ms be such
that sm ∞ as m∞ and 0))((inflim
m
m
sxf we must have 0)(inflim
Msx m
m
. In fact, if M > 0,
then there is a subsequence }{ kms such that 2/)( Msx km for sufficiently large k. By (25) we have
)(( kmsxf for some > 0 and sufficiently large k, which yields a contradiction because
0))((inflim
km
k
sxf .Therefore by Theorem 1, 0)(inflim
tx
t
holds and hence 0)(lim
tx
t
.
Remark 1. When e(t) = 0 the results of this paper reduce to the results of [10].
Remark 2. When R(t) = 0 ,Q(t) = 0 and e(t) = 0 the results of the present paper reduce to the results of [9].
7. Asymptotic behavior of solutions of nonlinear neutral delay forced impulsive differential equations
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Remark 3. When all bk = 1 and f(x) = x, equation (1)-(2) reduced to the differential equation without impulses
whose asymptotic behavior of solutions discussed in [3]
IV. Example
Consider the following impulsive differential equation
2 2
2 2
t 1 2 1
x(t) x t [1 sin x(t 2)]x(t 2) [1 sin x(t 1)]x(t 1) , t 2,t k
8k 2 tt 1
t
e
k k2
2 2
k2 2 2 2
k 2 k 1
2
k 1 1 2 1
x(k) x(t ) [1 sin x(s)]x(s)ds [1 sin x(s)]x(s)ds
k k (s 1) (s 1)
1
( ) for k 1,2,3,...
k
e s ds
k
Here P(t) =
2
1t
2
, Q(t) = 2
t
1
, R(t) =
8k
t
, f (x) = xx]sin[1 2
, τ = ½ , ρ = 2 ,σ = 1,bk =
2
2
k 1
k
The above equation satisfies all the conditions of Theorem 1. Therefore, every solution of this equation tends to
constant as t∞.
References
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[3] J.H. Shen and J.S. Yu, Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients, J.
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