Measurable selectors of multifunctions and applications

DOI10.1007/BF01890613zbMath0305.49011MaRDI QIDQ4061552

F. S. van Vleck, Jerald P. Dauer

Publication date: 1974

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Multivalued mappings ⋮ On existence problems for the optimal control of certain nonlinear integral equations of Urysohn type ⋮ Lower closure for orientor fields by lower semicontinuity of outer integral functionals ⋮ Existence of solutions for generalized differential equations with unbounded right-hand side

Cites Work

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• Continuous selections. III
• Measurable multifunctions, selectors, and Filippov's implicit functions lemma
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Sur les multi-applications mesurables
• Der Wertebereich von Vektorintegralen
• Remarks on Some Recent Extensions of Filippov’s Implicit Functions Lemma
• Measurability Properties of Set-Valued Mappings in a Banach Space
• Topologies on Spaces of Subsets

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