A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms

M. Waurick

doi:10.1002/mma.2515

A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms

M. Waurick

Mathematics And Statistics

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8 Citations (Scopus)

Abstract

We present an abstract approach to homogenization in a Hilbert space setting. Related compactness results are obtained. Moreover, the homogenized equations may be computed explicitly, if periodicity is imposed. Examples for the applicability of our homogenization result for linear ordinary (integro-)differential equations are given.

Original language	English
Pages (from-to)	1067-1077
Number of pages	11
Journal	Mathematical Methods in the Applied Sciences
Volume	35
Issue number	9
Early online date	23 Apr 2012
DOIs	https://doi.org/10.1002/mma.2515
Publication status	Published - 30 Jun 2012

Keywords

homogenization
ordinary differential equations
memory effects
homogenized equations

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10.1002/mma.2515

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AB - We present an abstract approach to homogenization in a Hilbert space setting. Related compactness results are obtained. Moreover, the homogenized equations may be computed explicitly, if periodicity is imposed. Examples for the applicability of our homogenization result for linear ordinary (integro-)differential equations are given.

KW - homogenization

KW - ordinary differential equations

KW - memory effects

KW - homogenized equations

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A Hilbert space approach to homogenization of linear ordinary differential equations including delay and memory terms

Abstract

Keywords

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