Integro-differential equations : analysis, stability and controllability /

Integro-differential equations : analysis, stability and controllability /

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Bibliographic Details
Author / Creator:	Benchohra, Mouffak, author.
Imprint:	Berlin ; Boston : De Gruyter, [2024] ©2024
Description:	1 online resource (xi, 282 pages) : illustrations
Language:	English
Subject:	Evolution equations. Integro-differential equations.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/14150996

Hidden Bibliographic Details
ISBN:	9783111437910 3111437914 9783111437958 3111437957 9783111437798 3111437795
Notes:	Includes bibliographical references and index. Description based on online resource; title from digital title page (viewed on September 05, 2024).
Summary:	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.

Table of Contents:

Introduction
Preliminary background
Semilinear integro-differential evolution equations
Impulsive integro-differential equations with delay
Neutral impulsive integro-differential equations
Second-order impulsive integro-differential evolution equations with delay
Coupled integro-differential systems with impulses
Coupled integro-differential neutral impulsive systems.