Measure differential inclusions through selection principles in the space of regulated functions

DOI10.1007/S00009-018-1192-YzbMath1406.54012OpenAlexW2807527274MaRDI QIDQ1790525

Mieczysław Cichoń, Kinga Chichon, Bianca-Renata Satco

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1192-y

zbMATH Keywords

differential inclusionselectionbounded variationKurzweil-Stieltjes integralregulated multifunction

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items (7)

On nonlinear metric spaces of functions of bounded variation ⋮ Measures of noncompactness in the space of regulated functions on an unbounded interval ⋮ Measures of noncompactness and superposition operator in the space of regulated functions on an unbounded interval ⋮ Approximating the solutions of differential inclusions driven by measures ⋮ On Banach spaces of regulated functions of several variables. An analogue of the Riemann integral ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces ⋮ Some inequalities and superposition operator in the space of regulated functions

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