Jianhong Wu

Theory and Applications of Partial Functional Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 432
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461240501
• Artikelnr.: 44179941

Inhaltsangabe

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.