Impulsive Differential Equations With A Small Parameter

Impulsive Differential Equations With A Small Parameter
Author :
Publisher : World Scientific
Total Pages : 282
Release :
ISBN-10 : 9789814504010
ISBN-13 : 9814504017
Rating : 4/5 (017 Downloads)

Book Synopsis Impulsive Differential Equations With A Small Parameter by : Drumi D Bainov

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.


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Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of