Convergence results for solutions of a first-order differential equation

Abstract

We consider the first order differential problem:Under certain conditions on the functions f n , the problem (P n ) admits a unique solution u n ∈ W 1,1 ([0, 1], E).In this paper, we propose to study the limit behavior of sequences (u n ) n∈N and (u n ) n∈N , when the sequence (f n ) n∈N is subject to different growing conditions.

Certain convergence results for homogeneous singular Young measures

“…The considered problems are often of a physical or engineering origin. With this respect, the reader may have a look at [3][4][5][6][7][8][9][10][11][12] (and the references therein), from the broad spectrum of articles on this subject.…”