Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 141, pp. 1-6.

Title: Existence of solutions for nonconvex functional 
       differential inclusions

Author: Vasile Lupulescu (Univ. of Targu-Jiu, Romania)

Abstract: 
 We prove the  existence of solutions for the functional 
 differential inclusion  $x'\in F(T(t)x)$, where $F$ is 
 upper semi-continuous,  compact-valued  multifunction 
 such that $F(T(t)x)\subset \partial V(x(t))$  on $[0,T]$, 
 $V$ is a proper convex and lower semicontinuous function, 
 and $(T(t)x)(s)=x(t+s)$.

Submitted September 24, 2004. Published November 29, 2004.
Math Subject Classifications: 34A60, 34K05, 34K25.
Key Words: Functional differential inclusions; existence result.