Displaying similar documents to “Extremal solutions to a class of multivalued integral equations in Banach space.”

Boundary value problems and periodic solutions for semilinear evolution inclusions

Nikolaos S. Papageorgiou (1994)

Commentationes Mathematicae Universitatis Carolinae

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We consider boundary value problems for semilinear evolution inclusions. We establish the existence of extremal solutions. Using that result, we show that the evolution inclusion has periodic extremal trajectories. These results are then applied to closed loop control systems. Finally, an example of a semilinear parabolic distributed parameter control system is worked out in detail.