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Handbook of Applied Analysis

  • Sophia Th. Kyritsi-Yiallourou
  • Nikolaos S. Papageorgiou

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 19)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 1-61
  3. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 63-145
  4. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 147-265
  5. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 267-350
  6. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 351-454
  7. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 455-527
  8. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 529-608
  9. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 609-650
  10. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 651-690
  11. Nikolaos S. Papageorgiou, Sophia Th. Kyritsi-Yiallourou
    Pages 691-751
  12. Back Matter
    Pages 1-41

About this book

Introduction

Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines.

This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis.

Unique features of the Handbook of Applied Analysis:

• Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners;

• Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations;

• Serves as a complete guide to the theory of nonlinear analysis;

• Includes numerous examples that demonstrate and expand upon the topics presented;

• Suggests many directions for further research and study.

In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working with nonlinear analysis.

Keywords

Eigenvalue Evolution equations Game theory Mathematical economics Nonlinear analysis Optimal control calculus differential equation extrema fixed point theory

Authors and affiliations

  • Sophia Th. Kyritsi-Yiallourou
  • Nikolaos S. Papageorgiou

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/b120946
  • Copyright Information Springer-Verlag US 2009
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-78906-4
  • Online ISBN 978-0-387-78907-1
  • Series Print ISSN 1571-8689
  • Series Online ISSN 1876-9896
  • Buy this book on publisher's site
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