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Theory and Applications of Partial Functional Differential Equations /

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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 a...

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Bibliographic Details
Main Author: Wu, Jianhong
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1996.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 119.
Subjects:
Mathematics.
Global analysis (Mathematics)
Cell aggregation > Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Preliminaries
  • Existence and compactness of solution semiflows. Generators and decomposition of state spaces for linear systems
  • Nonhomogenous systems and linearized stability
  • Invariant manifolds of nonlinear systems
  • Hopf Bifurcations
  • Small and large diffusivity
  • Invariance, comparison, lower and upper solutions
  • Convergence, monotononicity and contracting rectangles
  • Dispativeness, exponential growth and invariance principles
  • Travelling wave solutions
  • References
  • Index.