Solution Sets for Differential Equations and Inclusions

Smaïl Djebali; Lech Górniewicz; Abdelghani Ouahab

Published by De Gruyter 2012

Solution Sets for Differential Equations and Inclusions

Smaïl Djebali , Lech Górniewicz and Abdelghani Ouahab

Volume 18 in the series De Gruyter Series in Nonlinear Analysis and Applications

https://doi.org/10.1515/9783110293562

Overview
Contents

About this book

This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail.

The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.

Author / Editor information

Smäil Djebali, Ecole Normale Supérieure, Algiers, Algeria; Lech Górniewicz, Nicolaus Copernicus University, Torun, Poland; Abdelghani Ouahab, Sidi-Bel-Abbès University, Algeria.

Reviews

"This interesting and self-contained book offers both classical and recent results on the existence of solutions for differential equations and inclusions, and on the topological structure of solution sets." Mathematical Reviews

"In this excellent book, a comprehensive description of methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions is presented." Zentralblatt für Mathematik

Supplementary Materials

Contents

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	vii
Notations Requires Authentication Unlicensed Licensed Download PDF	xi
Contents Publicly Available Download PDF	xv
Chapter 1. Topological structure of fixed point sets Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Existence theory for differential equations and inclusions Requires Authentication Unlicensed Licensed Download PDF	72
Chapter 3. Solution sets for differential equations and inclusions Requires Authentication Unlicensed Licensed Download PDF	105
Chapter 4. Impulsive differential inclusions: existence and solution sets Requires Authentication Unlicensed Licensed Download PDF	163
Chapter 5. Preliminary notions of topology and homology Requires Authentication Unlicensed Licensed Download PDF	288
Chapter 6. Background in multi-valued analysis Requires Authentication Unlicensed Licensed Download PDF	337
Appendix Requires Authentication Unlicensed Licensed Download PDF	399
References Requires Authentication Unlicensed Licensed Download PDF	415
Index Requires Authentication Unlicensed Licensed Download PDF	451

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers, Lecturers, Postgraduate Students in Mathematics; Academic Libraries
Pages
- Front matter: 19
- Main content: 453
Illustrations
- Illustrations: 3
Keywords: Solution Set; Fixed Point Sets; Differential Equation; Differential Inclusion; Functional Differential Inclusions; Impulsive Differential Equation; Impulsive Differential Inclusion; Semigroup; Mild Solution; Impulsive Semilinear Differential Equation; Impulsive Semilinear Differential Inclusion

eBook

Published: December 6, 2012
ISBN: 9783110293562

Hardcover

Published: November 15, 2012
ISBN: 9783110293449