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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
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