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1995 | 15 | 1 | 29-42

Tytuł artykułu

On nonlinear, nonconvex evolution inclusions

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Języki publikacji



We consider a nonlinear evolution inclusion driven by an m-accretive operator which generates an equicontinuous nonlinear semigroup of contractions. We establish the existence of extremal integral solutions and we show that they form a dense, $G_δ$-subset of the solution set of the original Cauchy problem. As an application, we obtain "bang-bang"' type theorems for two nonlinear parabolic distributed parameter control systems.


  • Florida Institute of Technology, Department of Applied Mathematics, 150 West University Blvd. Melbourne, Florida 32901-6988, USA


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