Relaxation of infinite dimensional variational and control problems with state constraints

DOI10.2996/KMJ/1138039104zbMath0691.49006OpenAlexW2078192378MaRDI QIDQ582559

Nikolaos S. Papageorgiou

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039104

zbMATH Keywords

state constraintssemilinear systemsinfinite dimensional variational problemsrelaxabilitystrong calmness

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Ordinary differential inclusions (34A60) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27) Existence theories in calculus of variations and optimal control (49J99) Equations in function spaces; evolution equations (58D25)

Related Items (1)

A continuous version of the relaxation theorem for nonlinear evolution inclusions

Cites Work

• Existence theorems for differential inclusions with nonconvex right-hand side
• Convergence theorems for Banach space valued integrable multifunctions
• Multivalued differential equations in separable Banach spaces
• Admissible relaxation in variational and control problems
• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• On the extension of von Neumann-Aumann's theorem
• Continuous selections for a class of non-convex multivalued maps
• Some Results on Density of Extreme Selections for Measurable Multifunctions
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