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Advanced Functional Evolution Equations and Inclusions

  • Saïd Abbas
  • Mouffak Benchohra

Part of the Developments in Mathematics book series (DEVM, volume 39)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Saïd Abbas, Mouffak Benchohra
    Pages 1-15
  3. Saïd Abbas, Mouffak Benchohra
    Pages 17-45
  4. Saïd Abbas, Mouffak Benchohra
    Pages 47-92
  5. Saïd Abbas, Mouffak Benchohra
    Pages 93-112
  6. Saïd Abbas, Mouffak Benchohra
    Pages 113-126
  7. Saïd Abbas, Mouffak Benchohra
    Pages 127-142
  8. Saïd Abbas, Mouffak Benchohra
    Pages 143-163
  9. Saïd Abbas, Mouffak Benchohra
    Pages 191-259
  10. Saïd Abbas, Mouffak Benchohra
    Pages 261-304
  11. Saïd Abbas, Mouffak Benchohra
    Pages 305-352
  12. Saïd Abbas, Mouffak Benchohra
    Pages 353-383
  13. Saïd Abbas, Mouffak Benchohra
    Pages 385-397
  14. Back Matter
    Pages 399-408

About this book

Introduction

​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.

Keywords

Banach space Frechet space impulses initial value problem integro-differential equations mild solution nonlinear evolution equations nonlocal conditions phase space state-dependent delay weak solution

Authors and affiliations

  • Saïd Abbas
    • 1
  • Mouffak Benchohra
    • 2
  1. 1.Laboratoire de MathématiquesUniversité de SaïdaSaïdaAlgeria
  2. 2.Department of MathematicsUniversity of Sidi Bel AbbesSidi Bel AbbesAlgeria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-17768-7
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-17767-0
  • Online ISBN 978-3-319-17768-7
  • Series Print ISSN 1389-2177
  • Series Online ISSN 2197-795X
  • Buy this book on publisher's site
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