On the existence of solutions for Volterra integral inclusions in Banach spaces.
Avgerinos, Evgenios P. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Avgerinos, Evgenios P. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Nikolaos S. Papageorgiou (1994)
Czechoslovak Mathematical Journal
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Nikolaos S. Papageorgiou (1992)
Czechoslovak Mathematical Journal
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Nikolaos S. Papageorgiou (1993)
Mathematica Slovaca
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Papageorgiou, Nikolaos S. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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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.