We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of a first order linear differential equation. We show that it generates memory effects and the memory kernel is described by a Volterra integral equation. The explicit form of the memory kernel is given in terms of a Radon measure.
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TAIWANESE JOURNAL OF MATHEMATICS, Vol. 10, No. 4, pp. 963-976, June 2006 台灣數學期刊