Anello, Giovanni; Cubiotti, Paolo Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions. (English) Zbl 1114.28009 Ann. Pol. Math. 83, No. 2, 179-187 (2004). Let \(F:X\times Y\to Z\) be a multifunction defined on a product of Polish spaces, both of them endowed with regular Borel measures, and taking nonempty complete values in a separable metric space \(Z\). Conditions under which such \(F\) admits a selection whose \(X\)-sections are a.e.-continuous and \(Y\)-sections are measurable, are exhibited. An application of selections of this kind in the area of differential inclusions is mentioned. Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) Cited in 3 Documents MSC: 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections 54C65 Selections in general topology 34A60 Ordinary differential inclusions 26E25 Set-valued functions Keywords:lower semicontinuity Citations:Zbl 0851.54021 PDFBibTeX XMLCite \textit{G. Anello} and \textit{P. Cubiotti}, Ann. Pol. Math. 83, No. 2, 179--187 (2004; Zbl 1114.28009) Full Text: DOI