Viable Solutions Differential Inclusions High Order Nonautonomous Higher Order Tangent Sets Tangential Conditions Multivalued Differential Inequalities
Issue Date:
1998
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 12, No 1, (1998), 107p-118p
Abstract:
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.
