Existence and relaxation of solutions to differential inclusions with unbounded right-hand side in a Banach space

DOI10.1134/S003744661704019XzbMath1384.34073OpenAlexW2751763975MaRDI QIDQ1675189

A. A. Tolstonogov

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661704019x

zbMATH Keywords

relaxationexistence of a solutionconvexified problemdefferential inclusion

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Evolution inclusions (34G25)

Related Items (6)

Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators ⋮ Differential inclusions with mixed semicontinuity properties in a Banach space ⋮ Non-convex perturbation to evolution problems involving Moreau's sweeping process ⋮ Unnamed Item ⋮ Filippov trajectories and clustering in the Kuramoto model with singular couplings ⋮ Differential inclusions in a Banach space with composite right-hand side

Cites Work

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• Differential inclusions with unbounded right-hand side: existence and relaxation theorems
• The distance to a polyhedron
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
• Quantitative Stability of Variational Systems: I. The Epigraphical Distance
• Measurable relations
• Optimal Control of Unbounded Differential Inclusions
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

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