<p>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.</p>

Impulsive Differential Equations (Monographs and Surveys in Pure and Applied Mathematics)

Science & Math

Bainov, Drumi

Mathematics

Chapman and Hall/CRC

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.

Impulsive Differential Equations: Periodic Solutions and Applications

Simeonov, Pavel S.

Longman Publishing Group

<p>This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a large number of concrete mathematical models.</p>

Impulsive Differential Equations: Periodic Solutions and Applications (Monographs and Surveys in Pure and Applied Mathematics)

Simeonov, Pavel

The Second Colloquium on Differential Equations: Plovdiv, Bulgaria 19-24 August 1991

World Scientific Pub Co Inc

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.

IMPULSIVE DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER (SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES)

Covachev, Valery

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