On continuous variations of trajectories of differential inclusion with unbounded right-hand side

DOI10.1080/02331934.2019.1626385zbMath1443.34023OpenAlexW2950958746MaRDI QIDQ5221267

E. S. Polovinkin

Publication date: 25 March 2020

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2019.1626385

zbMATH Keywords

differential inclusionmultivalued mappingClarke tangent conederivative of the multivalued mappingmeasurable pseudo-Lipschitz mapping

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (2)

Polyhedral optimization of discrete and partial differential inclusions of parabolic type ⋮ Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators

Cites Work

• Differential inclusions with unbounded right-hand side and necessary optimality conditions
• Continuous version of Filippov-Wažewski relaxation theorem
• On some properties of vector measures
• Differential inclusions with measurable-pseudo-Lipschitz right-hand side
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Optimization and nonsmooth analysis
• THE METHOD OF TENTS IN THE THEORY OF EXTREMAL PROBLEMS
• Optimal Control of Unbounded Differential Inclusions
• Necessary conditions in dynamic optimization
• Optimal control
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