On the existence of periodic solutions for nonconvex differential inclusions. (English) Zbl 0870.34018

Using A. Bressan’s theorem on the existence of directionally continuous selections from lower semicontinuous multifunctions [Funkc. Ekvacioj, Ser. Int. 31, 459-470 (1988; Zbl 0676.34014)]the existence of a periodic solution of \[ x'(t)\in F\big (t,x(t)\big ),\;x(0)=x(b) \] is proved. A similar theorem was already published by Alberto Bressan [J. Differ. Equations 77, 379-391 (1989; Zbl 0675.34011)].


34A60 Ordinary differential inclusions
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