Random extremal solutions of differential inclusions
نویسندگان
چکیده
منابع مشابه
Extremal Solutions of Differential Inclusions via Baire Category: a Dual Approach
Let F be a continuous multifunction on IR with compact convex values. For any vector w, let F(x) ⊆ F (x) be the subset of points which maximize the inner product with w. Call W the set of all continuous functions w : [0, T ] 7→ IR with the following property: all solutions to the Cauchy problem ẋ(t) ∈ F(x(t)), x(0) = 0, are also solutions to ẋ(t) ∈ extF (x(t)). We prove that W is residual in C(...
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1 Center for Integrative Genetics (CIGENE), Norwegian University of Life Sciences, 1432 Aas, Norway 2Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, 1432 Aas, Norway 3Department of Algebra and Geometry, Tambov State University, 392000 Tambov, Russia 4Department of Higher Mathematics, Faculty of Electronics and Computer Sciences, Moscow State Forest Uni...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2016
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-016-0375-0