Some remarks on the structure of the solution set for differential inclusions in Banach spaces (Q1290960)

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scientific article; zbMATH DE number 1295266
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Some remarks on the structure of the solution set for differential inclusions in Banach spaces
scientific article; zbMATH DE number 1295266

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    Some remarks on the structure of the solution set for differential inclusions in Banach spaces (English)
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    19 March 2000
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    The authors present the general scheme of the proof, that the solution set of differential inclusions \[ x'\in F(t,x),\qquad x(0)= x_0, \] and \[ x'\in A(t)x(t)+ F(t,x(t)),\qquad x(0)= x_0 \] is \(R_\delta\) [see e.g. \textit{S. Plaskacz}, Boll. Unione Mat. Ital., VII. Ser., A 6, No. 3, 387-394 (1992; Zbl 0774.34012)] in general only if it is nonempty and compact.
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    differential inclusions
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