Displaying similar documents to “Existence and relaxation results for nonlinear evolution inclusions revisited.”

Topological properties of the solution set of a class of nonlinear evolutions inclusions

Nikolaos S. Papageorgiou (1997)

Czechoslovak Mathematical Journal

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In the paper we study the topological structure of the solution set of a class of nonlinear evolution inclusions. First we show that it is nonempty and compact in certain function spaces and that it depends in an upper semicontinuous way on the initial condition. Then by strengthening the hypothesis on the orientor field F ( t , x ) , we are able to show that the solution set is in fact an R δ -set. Finally some applications to infinite dimensional control systems are also presented.

Periodic solutions for nonlinear evolution inclusions

Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1996)

Archivum Mathematicum

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In this paper we prove the existence of periodic solutions for a class of nonlinear evolution inclusions defined in an evolution triple of spaces ( X , H , X * ) and driven by a demicontinuous pseudomonotone coercive operator and an upper semicontinuous multivalued perturbation defined on T × X with values in H . Our proof is based on a known result about the surjectivity of the sum of two operators of monotone type and on the fact that the property of pseudomonotonicity is lifted to the Nemitsky operator,...