Theory and Applications of Partial Functional Differential Equations: 119 (Applied Mathematical Sciences) - Hardcover

Jianhong Wu

 
9780387947716: Theory and Applications of Partial Functional Differential Equations: 119 (Applied Mathematical Sciences)
Hardcover
ISBN 10: 038794771X ISBN 13: 9780387947716
Verlag: Springer, 1996

Inhaltsangabe

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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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.

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Verlag
Springer
Erscheinungsdatum
1996
Sprache
Englisch
ISBN 10 
038794771X
ISBN 13 
9780387947716
Einband
Tapa dura
Anzahl der Seiten
448
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9781461284796: Theory and Applications of Partial Functional Differential Equations: 119 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  1461284791 ISBN 13:  9781461284796
Verlag: Springer, 2011
Softcover