Email this article On the weak polar cone of the solution set of a differential inclusion with conic graph
- Authors: Polovinkin E.S.1
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Affiliations:
- Moscow Institute of Physics and Technology
- Issue: Vol 292, No Suppl 1 (2016)
- Pages: 253-261
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173405
- DOI: https://doi.org/10.1134/S008154381602022X
- ID: 173405
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Abstract
A differential inclusion with values in a reflexive Banach space such that its righthand 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.
About the authors
E. S. Polovinkin
Moscow Institute of Physics and Technology
Author for correspondence.
Email: polovinkin@mail.mipt.ru
Russian Federation, per. Institutskii 9, Dolgoprudnyi, Moscow oblast, 141700
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