Displaying similar documents to “A new method of proof of Filippov’s theorem based on the viability theorem”

Parametrized relaxation for evolution inclusions of the subdifferential type

Nikolaos S. Papageorgiou (1995)

Archivum Mathematicum

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In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also...