Measurable multifunctions and their applications to convex integral functionals

DOI10.1155/S0161171289000220zbMath0659.28008MaRDI QIDQ1112199

Nikolaos S. Papageorgiou

Publication date: 1989

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46327

zbMATH Keywords

subdifferentialsubgradientset-valued conditional expectationbang-bang principlemeasurable multifunctionintegrable selectorscharacterization of separable dual Banach spacesconvex integral functionals defined on Lebesgue-Bochner spacesconvex normal integrandinfinite dimensional linear control systemsset-valued measurable functionsweak Radon-Nikodým property

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (11)

Remark on the well-posedness of the problem of minimization of integral functionals ⋮ On evolution inclusions with nonconvex valued orientor fields ⋮ Optimal control of nonlinear evolution inclusions ⋮ Optimal control of differential inclusions with state constraints ⋮ Maximal monotone differential inclusions with memory ⋮ On the dependence of the solutions and optimal solutions of control problems on the control constraint set ⋮ On the dependence of the solutions and optimal solutions of control problems on the control constraint set ⋮ Unnamed Item ⋮ L^∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle ⋮ On integral inclusions of Volterra type in Banach spaces ⋮ Existence and relaxation results for nonlinear second-order multivalued boundary value problems in \(\mathbb{R}^N\)

This page was built for publication: Measurable multifunctions and their applications to convex integral functionals