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

Wu, Jianhong

Hardcover

ISBN 10: 038794771X ISBN 13: 9780387947716

Publisher: Springer, 1996

Synopsis

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.

About this title

About the Author

Jianhong Wu received his PhD in Applied Mathematics from Hunan University in 1987. He is currently a Distinguished Research Professor of Mathematics at York University, a Senior Canada Research Chair and an NSRRC/Sanofi Industrial Research Chair in Vaccine Mathematics. Xue Zhang received her PhD in System Complexity Theory from Northeastern University in 2010. She is currently an Associate Professor of Mathematics at Northeastern University, and a Fellow of the Laboratory for Industrial and Applied Mathematics, York University. Both authors have been involved in several interdisciplinary research projects on vector-borne disease prevention and control, and have been actively publishing on the subject of mathematical technologies for public health decision making.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 1996
• Language: English
• ISBN 10: 038794771X
• ISBN 13: 9780387947716
• Binding: Hardcover
• Number of pages: 432