Delay Equations: Functional-, Complex-, and Nonlinear Analysis: 110 (Applied Mathematical Sciences, 110) - Softcover

Diekmann, Odo; Gils, Stephan A.van; Lunel, Sjoerd M.V.; Walther, Hans-Otto

Softcover

ISBN 10: 1461286964 ISBN 13: 9781461286967

Publisher: Springer, 2012

Synopsis

The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.

About this title

About the Author

Yuri Aleksandrovich Kuznetsov (b. in Alma-Ata, USSR, September 8, 1957) received graduate degree in Theoretical Physics from the Rostov-on-Don State University, USSR, in 1979, and the Ph.D. in Physics and Mathematics from the Institute of Biophysics, USSR Academy of Sciences, Pushchino, Moscow Region, in 1986. From 1979 until 2007, he was affiliated with the Research Computing Center (later: Institute of Mathematical Problems of Biology), USSR /Russian Academy of Sciences, Pushchino, where he held different positions, including that of Senior Researcher. During 1991–1998, he visited as Invited Professor/Researcher IIASA (Laxenburg, Austria), Politecnico di Milano (Italy), CWI (Amsterdam, The Netherlands), and ENS (Paris/Lion, France). Since 1999 he is affiliated with Utrecht University (The Netherlands), being Associate Professor at the Department of Mathematics. In 2011, he was appointed as Professor of Numerical Bifurcation Methods at the University of Twente (Enschede, The Netherlands).

Wolf-Jürgen Beyn, born on April 6, 1949 in Hamburg (Germany), studied Mathematics, Physics, and Computer Science at the Universities of Hamburg and Münster (Germany). He graduated in Mathematics at the University of Münster in 1973 and received his PhD there in 1975. He worked as a Scientific Assistant at the Mathematics Institutes of the Universities of Münster (1976 – 1979) and Konstanz (1979 -1981). In 1981 he received his habilitation in Mathematics at the University of Konstanz, and he has been a lecturer ('Privatdozent') there till 1990. Research stays as visiting professor led him to the University of Calgary (Canada) in 1979, to the California Institute of Technology (Pasadena) in 1986, and to the Universities of New Mexico (Albuquerque) and Missouri (Columbia) during the period 1990-2011. In 1990 he was appointed Associate Professor of Mathematics at Bielefeld University (Germany), where he was promoted to full in 2002. Since then he has been the head of the Numerical Analysis group at the Faculty of Mathematics of Bielefeld University.

Odo Diekmann was born on April 14, 1948, in Diepenveen (the Netherlands). He studied mathematics and physics at the University of Amsterdam and received his PhD from that same university in 1978, with a thesis devoted to mathematical epidemiology of infectious diseases and nonlinear integral equations. He worked at the Centre for Mathematics and Computer Science CWI in Amsterdam from 1974 to 1995. From 1986 to 1995 this was combined with a part-time professorship (joint with J.A.J. Metz) at the Biology Department of Leiden University. In 1995 he became Professor in Applied Mathematics at Utrecht University (The Netherlands).

From the Back Cover

The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple, yet rich, class of examples, that is, those described by delay differential equations. It is a textbook giving detailed proofs and providing many exercises, which is intended both for self-study and for courses at a graduate level. The book would also be suitable as a reference for basic results. As the subtitle indicates, the book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. After studying this book, the reader should have a working knowledge of applied functional analysis and dynamical systems.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 1461286964
• ISBN 13: 9781461286967
• Binding: Paperback
• Number of pages: 536