International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 3, Pages 459-469
doi:10.1155/S0161171286000595

Existence theorems for differential inclusions with nonconvex right hand side

Nikolaos S. Papageorgiou

 University of Illinois, Department of Mathematics, 1409 West Green Street, Urbana 61801, Illinois, USA
Received 21 November 1985; Revised 26 February 1986

Abstract

In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.