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Theory and Applications of Partial Functional Differential Equations

  • Book
  • © 1996

Overview

Authors:
  1. Jianhong Wu

    1. Department of Mathematics and Statistics, York University, North York, Canada

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Part of the book series: Applied Mathematical Sciences (AMS, volume 119)

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About this book

Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Jianhong Wu
    Pages 1-19

  3. Preliminaries

    • Jianhong Wu
    Pages 20-35

  4. Existence and Compactness of Solution Semiflows

    • Jianhong Wu
    Pages 36-64

  5. Generators and Decomposition of State Spaces for Linear Systems

    • Jianhong Wu
    Pages 65-110

  6. Nonhomogeneous Systems and Linearized Stability

    • Jianhong Wu
    Pages 111-142

  7. Invariant Manifolds of Nonlinear Systems

    • Jianhong Wu
    Pages 143-181

  8. Hopf Bifurcations

    • Jianhong Wu
    Pages 182-243

  9. Small and Large Diffusivity

    • Jianhong Wu
    Pages 244-267

  10. Invariance, Comparison, and Upper and Lower Solutions

    • Jianhong Wu
    Pages 268-294

  11. Convergence, Monotonicity, and Contracting Rectangles

    • Jianhong Wu
    Pages 295-322

  12. Dispativeness, Exponential Growth, and Invariance Principles

    • Jianhong Wu
    Pages 323-348

  13. Traveling Wave Solutions

    • Jianhong Wu
    Pages 349-399

  14. Back Matter

    Pages 400-432
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Authors and Affiliations

  • Department of Mathematics and Statistics, York University, North York, Canada

    Jianhong Wu

Bibliographic Information

  • Book Title: Theory and Applications of Partial Functional Differential Equations

  • Authors: Jianhong Wu

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-4050-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Hardcover ISBN: 978-0-387-94771-6Published: 26 September 1996

  • Softcover ISBN: 978-1-4612-8479-6Published: 01 October 2011

  • eBook ISBN: 978-1-4612-4050-1Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: X, 432

  • Topics: Analysis, Manifolds and Cell Complexes (incl. Diff.Topology)

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