Integro-Differential Equations
Description
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions.
The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics.
This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
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Persons
Mouffak Benchohra , Laboratory of Mathematics, Djillali Liabès University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria. E-mail: benchohra@yahoo.com/ Phone: +213540230405
Abdelkrim Salim, Laboratory of Mathematics, Djillali Liabès University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria. E-mail: salim.abdelkrim@yahoo.com/ Phone: +213796315208
Yong Zhou, Faculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, P.R. China. E-mail: yzhou@xtu.edu.cn/ Phone: +0086 732 58292194
Content
- Intro
- Preface
- Contents
- 1 Introduction
- 2 Preliminary background
- 3 Semilinear integro-differential evolution equations
- 4 Impulsive integro-differential equations with delay
- 5 Neutral impulsive integro-differential equations
- 6 Second-order impulsive integro-differential evolution equations with delay
- 7 Coupled integro-differential systems with impulses
- 8 Coupled integro-differential neutral impulsive systems
- Bibliography
- Index
