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Directionally continuous selections and differential inclusions. (English) Zbl 0676.34014
The author gives a new proof of Filippov’s existence theorem for differential inclusions [A. F. Filippov, Mat. Zametki 10, 307-313 (1971; Zbl 0254.34004)] which is conceptually simpler than previous proofs and also extends the result to the lower semi-continuous case. The main tool is the notation of directional continuity of a map in a cone.
Reviewer: F.Brauer

MSC:
34A60 Ordinary differential inclusions
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