Displaying similar documents to “On the structure of the solution set of evolution inclusions with time-dependent subdifferentials”

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.

A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces

Kravvaritis, D., Pantelidis, G. (1996)

Serdica Mathematical Journal

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In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values. Our result is a stochastic generalization of an existence theorem proved by Kravvaritis and Papageorgiou in [6].