Let F:[0,1]×Y→B be Hausdorff continuous where Y a real reflexive Banach space. We prove that almost all (in the sense of the Baire category) solutions of x˙∈F(t,x), x(0)=x0 are solutions of x˙∈∂F(t,x), x(0)=x0.
REMARKS ON HAUSDORFF CONTINUOUS MULTIFUNCTIONS AND SELECTIONS / G. PIANIGIANI; F. DE BLASI. - In: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE. - ISSN 0010-2628. - STAMPA. - 24:(1983), pp. 553-561.
REMARKS ON HAUSDORFF CONTINUOUS MULTIFUNCTIONS AND SELECTIONS
PIANIGIANI, GIULIO;
1983
Abstract
Let F:[0,1]×Y→B be Hausdorff continuous where Y a real reflexive Banach space. We prove that almost all (in the sense of the Baire category) solutions of x˙∈F(t,x), x(0)=x0 are solutions of x˙∈∂F(t,x), x(0)=x0.
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