International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 699-706
doi:10.1155/S0161171297000951

Regular and singular perturbations of upper semicontinuous differential inclusions

Abstract

In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence of the solution sets. Moreover new existence result for lower semicontinuous differential inclusions is proved.