Sjoerd M.V. Lunel's Books

Delay Equations

Functional-, Complex-, and Nonlinear Analysis

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

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Delay Equations

Functional-, Complex-, and Nonlinear Analysis

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

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.

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Page Count

547

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461242061

ISBN 13

9781461242062

Completeness Theorems and Characteristic Matrix Functions

Applications to Integral and Differential Operators

By: Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel

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Completeness Theorems and Characteristic Matrix Functions

Applications to Integral and Differential Operators

By: Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel

This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process.

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Page Count

358

Publisher

Springer Nature

Published Date

ISBN 10

3031045084

ISBN 13

9783031045080

Delay Equations

Functional-, Complex-, and Nonlinear Analysis

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

Write a review Read reviews Take a Quiz Solve Book Puzzle

Delay Equations

Functional-, Complex-, and Nonlinear Analysis

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

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

547

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461242061

ISBN 13

9781461242062

Book's by Sjoerd M.V. Lunel

Delay Equations

Delay Equations

Completeness Theorems and Characteristic Matrix Functions

Completeness Theorems and Characteristic Matrix Functions

Delay Equations

Delay Equations

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