3 research outputs found
Time-Dependent Differential Inclusions and Viability
AMS subject classification: Primary 34A60, Secondary 49J52.This paper is devoted to study the existence of viable solutions for nonautonomous
higher order differential inclusions. Two cases are considered, according to the
properties of the set-valued maps on the right-hand side. Firstly, upper semicontinuity is assumed and both necessary and sufficient conditions are given by means of
higher order tangent sets. Later, almost upper semicontinuous case is investigated,
and similar results are stated. Finally, these results are used to solve a multivalued
differential inequality.This paper was partially supported by DGICYT grant PB95-1103