A concept of invariance and attractivity for multivalued differential equations

Abstract

In this work, we shall introduce as well as study the problem of selective invariance and attractivity of sets given by multi-valued differential equations. Not as usual, from the control theory point of view, but here, we discuss it from the differential games view point from which this problem can be interpreted as a qualitative problem. One of our results can be applied to the game of pursuit and evasion in some formulations.