Impulsive differential equations with a small parameter
Author(s)
Bibliographic Information
Impulsive differential equations with a small parameter
（Series on advances in mathematics for applied sciences, v. 24）
World Scientific, c1994
Available at / 14 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
- Preliminary notes and auxiliary assertions
- regularly perturbed impulsive differential equations
- singularly perturbed differential equations.
by "Nielsen BookData"