Theory Of Impulsive Differential Equations
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Theory Of Impulsive Differential Equations
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Author : V. Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1989
Theory Of Impulsive Differential Equations written by V. Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
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.
Oscillation Theory Of Impulsive Differential Equations
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Author : Dimitŭr Baĭnov
language : en
Publisher:
Release Date : 1998
Oscillation Theory Of Impulsive Differential Equations written by Dimitŭr Baĭnov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential equations categories.
Impulsive Differential Equations
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Author : Anatoli? Mikha?lovich Samo?lenko
language : en
Publisher: World Scientific
Release Date : 1995
Impulsive Differential Equations written by Anatoli? Mikha?lovich Samo?lenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
For researchers in nonlinear science, this work includes coverage of linear systems, stability of solutions, periodic and almost periodic impulsive systems, integral sets of impulsive systems, optimal control in impulsive systems, and more.
Differential Equations With Impulse Effects
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Author : Nikolai A. Perestyuk
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-27
Differential Equations With Impulse Effects written by Nikolai A. Perestyuk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-27 with Mathematics categories.
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
Applied Impulsive Mathematical Models
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Author : Ivanka Stamova
language : en
Publisher: Springer
Release Date : 2016-05-05
Applied Impulsive Mathematical Models written by Ivanka Stamova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Science categories.
Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.
Non Instantaneous Impulsive Differential Equations
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Author : JinRong Wang (Mathematics professor)
language : en
Publisher:
Release Date : 2018
Non Instantaneous Impulsive Differential Equations written by JinRong Wang (Mathematics professor) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Impulsive differential equations categories.
"Many real-life processes can be characterised by rapid changes in their state. Some of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical system that can be used for many different purposes. Using a variety of equations, examples and solutions, this book will be an essential guide for researchers, graduate students and those interested in applied mathematics and related fields." -- Prové de l'editor.
Almost Periodic Solutions Of Impulsive Differential Equations
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Author : Gani T. Stamov
language : en
Publisher: Springer
Release Date : 2012-03-08
Almost Periodic Solutions Of Impulsive Differential Equations written by Gani T. Stamov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.
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.
Bifurcation Theory Of Impulsive Dynamical Systems
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Author : Kevin E.M. Church
language : en
Publisher: Springer Nature
Release Date : 2021-03-24
Bifurcation Theory Of Impulsive Dynamical Systems written by Kevin E.M. Church and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-24 with Mathematics categories.
This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations. Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state.
Stability Analysis Of Impulsive Functional Differential Equations
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Author : Ivanka Stamova
language : en
Publisher: Walter de Gruyter
Release Date : 2009-10-16
Stability Analysis Of Impulsive Functional Differential Equations written by Ivanka Stamova and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-16 with Mathematics categories.
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.
Impulsive Differential Equations And Inclusions
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Author :
language : en
Publisher:
Release Date : 2006
Impulsive Differential Equations And Inclusions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations categories.
This book is devoted to the rapidly developing theory of differential equations and inclusions with special emphasis on such equations and inclusions subject to impulses. In addition, the book includes a wide account of various applications to physical problems.