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