A remark on Scorza-Dragoni theorem for differential inclusions. (English) Zbl 0701.34026

The result of this paper is connected to an earlier result of J. Jarnik and J. Kurzweil [(*) Comment. Math., Spec. Vol. I, dedic. L Orlicz, 147-158 (1978; Zbl 0383.34010)] dealing with some property of solutions of differential inclusions of the form \(\dot x\in F(t,x)\). Combining some ideas of Z. Opial [Ann. Polon. Math. 8, 23-28 (1960; Zbl 0093.084)] and J. Jarnik and J. Kurzweil [(*) and Cas. Pestovani Mat. 102, 334-349 (1977; Zbl 0369.34002)] the author obtains here a simpler and shorter proof of the result mentioned above.
Reviewer: M.Kisielewicz


34A60 Ordinary differential inclusions
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