Research Catalog

Theory and applications of partial functional differential equations

Title: Theory and applications of partial functional differential equations / Jianhong Wu.
Author: Wu, Jianhong.
Publication: New York : Springer, [1996], ©1996.

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Description

x, 429 pages : illustrations; 25 cm.

Summary

This book provides an introduction to the qualitative theory and applications of partial functional differential equations from the viewpoint of dynamical systems. Many fundamental results and methods scattered throughout research journals are described, various applications to population growth in a heterogeneous environment are presented and a comprehensive bibliography from both mathematical and biological sources is provided.
The main emphasis of the book is on reaction-diffusion equations with delayed nonlinear reaction terms and on the joint effect of the time delay and spatial diffusion on the spatial-temporal patterns of the considered systems. The presentation is self-contained and accessible to the nonspecialist. The book should be of value to graduate students and researchers in dynamical systems, differential equations, semigroup theory, nonlinear analysis and mathematical biology.
The style of the presentation appeals especially to people trained and interested in the qualitative theory of ordinary/functional/partial differential equations.

Series Statement

Applied mathematical sciences ; 119

Uniform Title

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 119.

Subject

Functional differential equations

Bibliography (note)

Includes bibliographical references (p. [400]-426) and index.

Contents

1. Preliminaries -- 2. Existence and Compactness of Solution Semiflows -- 3. Generators and Decomposition of State Spaces for Linear Systems -- 4. Nonhomogeneous Systems and Linearized Stability -- 5. Invariant Manifolds of Nonlinear Systems -- 6. Hopf Bifurcations -- 7. Small and Large Diffusivity -- 8. Invariance, Comparison, and Upper and Lower Solutions -- 9. Convergence, Monotonicity, and Contracting Rectangles -- 10. Dispativeness, Exponential Growth, and Invariance Principles -- 11. Traveling Wave Solutions.

ISBN

038794771X (hard : alk. paper)

LCCN

96014763

OCLC

ocm34548968

Owning Institutions

Columbia University Libraries