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2017 | OriginalPaper | Chapter

Dichotomy Spectra of Nonautonomous Linear Integrodifference Equations

Author : Christian Pötzsche

Published in: Advances in Difference Equations and Discrete Dynamical Systems

Publisher: Springer Singapore

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Abstract

We give examples of dichotomy spectra for nonautonomous linear difference equations in infinite-dimensional spaces. Particular focus is on the spectrum of integrodifference equations having compact coefficients. Concrete systems with explicitly known spectra are discussed for several purposes: (1) They yield reference examples for numerical approximation schemes. (2) The asymptotic behavior of spectral intervals is tackled illustrating their merging.

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next chapter A Dynamical Trichotomy for Structured Populations Experiencing Positive Density-Dependence in Stochastic Environments
Footnotes
1
For this it suffices to assume that \({\mathcal {K}}_t|_{N(P(t))}:N(P(t))\rightarrow N(P(t+1))\), \(t\in {\mathbb {I}}'\), are isomorphisms.
 
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Metadata
Title
Dichotomy Spectra of Nonautonomous Linear Integrodifference Equations
Author
Christian Pötzsche
Copyright Year
2017
Publisher
Springer Singapore
Book
Advances in Difference Equations and Discrete Dynamical Systems

Print ISBN: 978-981-10-6408-1

Electronic ISBN: 978-981-10-6409-8

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-6409-8_2

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