Differential equations with impulse effects : multivalued right-hand sides with discontinuities / by Nikolai A. Perestyuk ... [et al.].

Format:

Book

Author/Creator:

Perestyuk, Nikolai A., author.

Contributor:

Peresti︠u︡k, N. A. (Nikolaĭ Alekseevich)

Series:

De Gruyter studies in mathematics ; 40.

De Gruyter studies in mathematics, 0179-0986 ; 40

Language:

English

Subjects (All):

Impulsive differential equations.

Physical Description:

1 online resource (324 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : De Gruyter, c2011.

Language Note:

English

Summary:

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.

Contents:

Front matter

Introduction

Notation

Contents

Chapter 1. Impulsive Differential Equations

Chapter 2. Impulsive Differential Inclusions

Chapter 3. Linear Impulsive Differential Inclusions

Chapter 4. Linear Systems with Multivalued Trajectories

Chapter 5. Method of Averaging in Systems with Pulse Action

Chapter 6. Averaging of Differential Inclusions

Chapter 7. Differential Equations with Discontinuous Right-Hand Side

Appendix A. Some Elements of Set-Valued Analysis

Appendix B. Differential Inclusions

References

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613398628

9781283398626

1283398621

9783110218169

311021816X

OCLC:

748242184