G. Anello
Covering dimension and differential inclusions

Comment.Math.Univ.Carolinae 41,3 (2000) 477-484.

Abstract:In this paper we shall establish a result concerning the covering dimension of a set of the type $\{x\in X:\Phi (x)\cap \Psi (x)\not =\emptyset \}$, where $\Phi $, $\Psi $ are two multifunctions from $X$ into $Y$ and $X$, $Y$ are real Banach spaces. Moreover, some applications to the differential inclusions will be given.

Keywords: multifunction, Hausdorff distance, convex processes, covering dimension, differential inclusion
AMS Subject Classification: 47H04, 26E25