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 | |
Publication status | Published - 30 Jun 2012 |
Keywords
- homogenization
- ordinary differential equations
- memory effects
- homogenized equations