Impulsive differential equations and inclusions

✍ Scribed by M. Benchohra, J. Henderson, and S. Ntouyas

• Publisher: Hindawi Publishing Corporation
• Year: 2006
• Tongue: English
• Leaves: 381
• Series: Contemporary Mathematics and Its Applications, Volume 2
• Edition: 1st
• Category: Library

✦ Synopsis

This book is devoted to impulsive differential equations and inclusions. Initial and boundary value problems for both impulsive differential equations and inclusions, as well as for each of impulsive functional differential equations or inclusions, and neutral functional differential equations, are studied. Moreover, results on impulsive semilinear ordinary and functional differential inclusions satisfying nonlocal boundary conditions are given careful attention. Positive solutions and multiple positive solutions for impulsive ordinary and functional differential equations, as well as impulsive differential inclusions satisfying periodic boundary conditions, are also studied. Some of these results are extended to functional differential equations and inclusions for operators that are nondensely defined on a Branch Scope, to impulsive hyperbolic differential inclusions, and to impulsive dynamic equations on time scales. This book is addressed to a wide audience of specialists such as mathematicians, engineering, biologists, and physicists.

✦ Table of Contents

Cover......Page 1
Dedication......Page 6
Contents......Page 8
Preface......Page 12
1 Preliminaries......Page 16
2 Impulsive ordinary differential equations & inclusions......Page 26
3 Impulsive functional differential equations & inclusions......Page 78
4 Impulsive differential inclusions with nonlocal conditions......Page 134
5 Positive solutions for impulsive differential equations......Page 162
6 Boundary value problems for impulsive differential inclusions......Page 182
7 Nonresonance impulsive differential inclusions......Page 214
8 Impulsive differential equations & inclusions with variable times......Page 244
9 Nondensely defined impulsive differential equations & inclusions......Page 268
10 Hyperbolic impulsive differential inclusions......Page 306
11 Impulsive dynamic equations on time scales......Page 326
12 On periodic boundary value problems of first-order perturbed impulsive differential inclusions......Page 360
Bibliography......Page 370
Index......Page 380