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

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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.
LanguageEnglish
Pages1067-1077
Number of pages11
JournalMathematical Methods in the Applied Sciences
Volume35
Issue number9
Early online date23 Apr 2012
DOIs
Publication statusPublished - 30 Jun 2012

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Integrodifferential equations
Linear Ordinary Differential Equations
Memory Term
Hilbert spaces
Ordinary differential equations
Homogenization
Hilbert space
Data storage equipment
Integro-differential Equation
Periodicity
Compactness

Keywords

  • homogenization
  • ordinary differential equations
  • memory effects
  • homogenized equations

Cite this

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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.",
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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.

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KW - memory effects

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