TWO-SCALE HOMOGENIZATION AND MEMORY EFFECTS OF A FIRST ORDER DIFFERENTIAL EQUATION

Abstract

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.