Non-instantaneous impulsive differential equations :basic theory and computation /

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"Version: 20181101"--Title page verso.Includes bibliographical references.1. Linear and perturbed equations -- 1.1. Stability analysis -- 1.2. Lyapunov regularity2. Nonlinear differential equations -- 2.1. Continuous dependence and stability of solutions -- 2.2. Orbital Hausdorff dependence of the solutions -- 2.3. Differentiability of solutions3. Semilinear evolution equations -- 3.1. First-order evolution equations -- 3.2. Second-order evolution equations4. Periodic solutions -- 4.1. First-order autonomous evolution equations -- 4.2. First-order non-autonomous evolution equations -- 4.3. Second-order evolution equations.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.This book is useful for researchers and graduate students studying evolution equations and other nonlinear problems with non-instantaneous impulsive effects as well as for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.JinRong Wang is a professor at Guizhou University in China and his expertise lies in numerical analysis, applied mathematics and differential equations. Michal Fe?eckan is a professor at Comenius University in Bratislava and his research focuses on analysis and applied mathematics as well as numerical modelling and numerical analysis. Both authors of this book are known internationally for their expertise in both impulsive and non-instantaneous impulsive differential equations.Title from PDF title page (viewed on December 14, 2018).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750317047

Classification

515/.353

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Impulsive differential equations.

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Statement of Responsibility

JinRong Wang, Michal Fe?eckan.

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