Some properties of viability problems depending on a parameter

DOI10.1007/BF01194011zbMath0823.34020OpenAlexW1998525008MaRDI QIDQ1346275

Vladimir V. Goncharov

Publication date: 6 November 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194011

zbMATH Keywords

existencedifferential inclusionBanach spacemultimapcontinuous selectioncontinuous dependence on the parameterviability problem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60)

Related Items (4)

On an elliptic analogue of Zagier's conjecture ⋮ \(L_p\)-Continuous selections of fixed points of~multifunctions with~ decomposable values. ~II. Relaxation theorems ⋮ \(L_p\)-Continuous selections of fixed points of~multifunctions with~ decomposable values. ~III. Applications ⋮ \(L_p\)-Continuous selections of fixed points of multifunctions with decomposable values. I: Existence theorems

Cites Work

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• On the set of solutions to Lipschitzian differential inclusions
• Well posedness for differential inclusions on closed sets
• Continuous selections of Aumann integrals
• A continuous version of Liapunov's convexity theorem
• Continuous version of Filippov-Wažewski relaxation theorem
• Representation of the attainable set for Lipschitzian differential inclusions
• A continuous version of the Filippov-Gronwall inequality for differential inclusions
• Continuous selections for a class of non-convex multivalued maps
• Extensions and selections of maps with decomposable values
• Viable trajectories of nonconvex differential inclusions

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