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Boundary value problems for lower semicontinuous differential inclusions. (English) Zbl 0788.34007
The results of the paper deal with the existence of solutions to a boundary value problem $$x'(t) \in F(t,x(t))$$, $$t \in[0,T]$$, $$x(0) \in D$$, $$x(T) \in D'$$, where $$D$$ and $$D'$$ are closed subsets of an $$n$$- dimensional Euclidean space. The existence theorem is obtained for a lower semicontinuous multifunction $$F$$ with compact values.
##### MSC:
 34A60 Ordinary differential inclusions 34B15 Nonlinear boundary value problems for ordinary differential equations