Extremal selections of multifunctions generating a continuous flow
نویسندگان
چکیده
منابع مشابه
Extremal Selections of Multifunctions Generating a Continuous Flow
n be a continuous multifunction with compact, not necessarily convex values. If F is Lipschitz continuous, it was shown in [4] that there exists a measurable selection f of F such that, for every x 0 , the Cauchy problem ˙ x(t) = f (t, x(t)), x(0) = x 0 has a unique Caratheodory solution, depending continuously on x 0. In this paper, we prove that the above selection f can be chosen so that f (...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1994
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-60-2-101-117