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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 238–246
(Mi timm1130)
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This article is cited in 2 scientific papers (total in 2 papers)
On the weak polar cone of the solution set of a differential inclusion with conic graph
E. S. Polovinkin Moscow Institute of Physics and Technology (State University)
Abstract:
A differential inclusion with values in a reflexive Banach space such that its right-hand side is at each time a convex closed cone is considered. The form of the weak polar cone of the cone of strongly bounded solutions to the Cauchy problem for this inclusion is found. A solution is called strongly bounded if it is an absolutely continuous function (in a wide sense) and its derivative is essentially bounded.
Keywords:
polar cone, multivalued mapping, differential inclusion, convex process.
Received: 03.06.2014
Citation:
E. S. Polovinkin, “On the weak polar cone of the solution set of a differential inclusion with conic graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 238–246; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 253–261
Linking options:
https://www.mathnet.ru/eng/timm1130 https://www.mathnet.ru/eng/timm/v20/i4/p238
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Abstract page: | 342 | Full-text PDF : | 68 | References: | 63 | First page: | 1 |
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