Impulsive Differential Equations With A Small Parameter

Author : Drumi D Bainov
Publisher : World Scientific
ISBN 13 : 9814504017
Total Pages : 282 pages
Book Rating : 4.10/5 ( download)

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Download or read book Impulsive Differential Equations With A Small Parameter written by Drumi D Bainov and published by World Scientific. This book was released on 1994-12-16 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.

Author : Drumi Bainov
Publisher : Routledge
ISBN 13 : 135143909X
Total Pages : 146 pages
Book Rating : 4.91/5 ( download)

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Download or read book Impulsive Differential Equations written by Drumi Bainov and published by Routledge. This book was released on 2017-11-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.

Author : V. Lakshmikantham
Publisher : World Scientific
ISBN 13 : 9789971509705
Total Pages : 296 pages
Book Rating : 4.09/5 ( download)

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Download or read book Theory of Impulsive Differential Equations written by V. Lakshmikantham and published by World Scientific. This book was released on 1989 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Author : Dimit?r Ba?nov
Publisher : World Scientific
ISBN 13 : 9789810214340
Total Pages : 292 pages
Book Rating : 4.40/5 ( download)

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Download or read book Impulsive Differential Equations with a Small Parameter written by Dimit?r Ba?nov and published by World Scientific. This book was released on 1994 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.

Author : A M Samoilenko
Publisher : World Scientific
ISBN 13 : 981449982X
Total Pages : 472 pages
Book Rating : 4.28/5 ( download)

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Download or read book Impulsive Differential Equations written by A M Samoilenko and published by World Scientific. This book was released on 1995-08-31 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

Author : Dimit?r Ba?nov
Publisher : World Scientific
ISBN 13 : 9810218230
Total Pages : 246 pages
Book Rating : 4.32/5 ( download)

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Download or read book Impulsive Differential Equations written by Dimit?r Ba?nov and published by World Scientific. This book was released on 1995 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.

Author : Gani T. Stamov
Publisher : Springer Science & Business Media
ISBN 13 : 3642275451
Total Pages : 235 pages
Book Rating : 4.56/5 ( download)

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Download or read book Almost Periodic Solutions of Impulsive Differential Equations written by Gani T. Stamov and published by Springer Science & Business Media. This book was released on 2012-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Author : Mouffak Benchohra
Publisher : Hindawi Publishing Corporation
ISBN 13 : 977594550X
Total Pages : 381 pages
Book Rating : 4.01/5 ( download)

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Download or read book Impulsive Differential Equations and Inclusions written by Mouffak Benchohra and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bainov, D. D.
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.02/5 ( download)

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Download or read book Abstract Impulsive Differential Equations written by Bainov, D. D. and published by . This book was released on 1996 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John R. Graef
Publisher : Walter de Gruyter
ISBN 13 : 3110295318
Total Pages : 412 pages
Book Rating : 4.13/5 ( download)

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Download or read book Impulsive Differential Inclusions written by John R. Graef and published by Walter de Gruyter. This book was released on 2013-07-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.