Olech's correction to the proof of his theorem on existence of solutions to differential inclusions

DOI10.1007/S40574-019-00202-YzbMath1441.34031OpenAlexW2946537071MaRDI QIDQ1987777

Tadeusz Rzeżuchowski

Publication date: 15 April 2020

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-019-00202-y

zbMATH Keywords

differential inclusionscontinuityexistence of solutionssemicontinuitymeasurabilitymixed assumptions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)

Cites Work

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• Convex analysis and measurable multifunctions
• Measure driven differential inclusions
• The generalized differential equation \(\dot x\in R(t,x)\)
• Viability theory
• Mixed semicontinuous mappings and their applications to differential inclusions

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