Pointwise estimates for retractions on the solution set to Lipschitz differential inclusions

DOI10.1090/S0002-9939-2010-10502-6zbMath1211.34012OpenAlexW2056619055MaRDI QIDQ3082326

Tadeusz Rzeżuchowski, Andrzej Fryszkowski

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10502-6

zbMATH Keywords

differential inclusionsolution setFilippov Lemmaretraction of the solution set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)

Related Items (1)

Pointwise estimates in the Filippov lemma and Filippov-Ważewski theorem for fourth order differential inclusions

Cites Work

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• \({\mathcal A}\)-fixed points of multi-valued contractions
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• Continuous selections and differential relations
• Le correspondant topologique de l'unicité dans la théorie des équations différentielles
• Continuous selections for a class of non-convex multivalued maps
• ON THE STRUCTURE OF THE SOLUTION SET FOR DIFFERENTIAL INCLUSIONS IN A BANACH SPACE
• Extensions and selections of maps with decomposable values
• A Class of Absolute Retracts in Spaces of Integrable Functions
• A class of retracts in L^p with some applications to differential inclusion
• Fixed points of contractive multivalued maps
• Set-valued analysis

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