Bressan, Alberto; Colombo, Giovanni Boundary value problems for lower semicontinuous differential inclusions. (English) Zbl 0788.34007 Funkc. Ekvacioj, Ser. Int. 36, No. 2, 359-373 (1993). 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. Reviewer: M.Kisielewicz (Zielona Gora) MSC: 34A60 Ordinary differential inclusions 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:differential inclusions; existence; boundary value problem; lower semicontinuous multifunction PDFBibTeX XMLCite \textit{A. Bressan} and \textit{G. Colombo}, Funkc. Ekvacioj, Ser. Int. 36, No. 2, 359--373 (1993; Zbl 0788.34007)