Overview
- Complements existing literature in functional differential equations and inclusions
- Covers equations with time-delay and with impulses
- Contains results that appear for the first time in monograph form
Part of the book series: Developments in Mathematics (DEVM, volume 39)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Fréchet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks.
This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.
Reviews
“In this monograph, the authors present their results on various partial functional and neutral functional differential equations and inclusions in infinite dimensional spaces obtained in the last years. The book is organized in 13 chapters, an extensive bibliography and an index. … This book will be useful to researchers and graduate students interested in functional evolution equations and inclusions.” (Rodica Luca, zbMATH, Vol. 1326.34012, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Advanced Functional Evolution Equations and Inclusions
Authors: Saïd Abbas, Mouffak Benchohra
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-319-17768-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-17767-0Published: 13 July 2015
Softcover ISBN: 978-3-319-36725-5Published: 15 October 2016
eBook ISBN: 978-3-319-17768-7Published: 30 June 2015
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XXI, 408
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Systems Theory, Control