Extremal solutions to a class of multivalued integral equations in Banach space

DOI10.1155/S1048953392000170zbMath0765.45008OpenAlexW2161037262MaRDI QIDQ1201969

Sergiu Aizicovici, Nikolaos S. Papageorgiou

Publication date: 19 January 1993

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46811

zbMATH Keywords

Banach spaceVolterra integral inclusionintegral solutionextremal points\(m\)-accretive operatorbang-bang principlenonlinear, infinite dimensional control systems

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear differential equations in abstract spaces (34G20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

A continuous version of the relaxation theorem for nonlinear evolution inclusions, On the properties of the solution set of semilinear evolution inclusions, Extremal solutions of Cauchy problems for abstract fractional differential equations