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This article is cited in 1 scientific paper (total in 1 paper)
Differential inclusions with mean derivatives, having aspherical right-hand sides
Yu. E. Gliklikh Voronezh State
University (Voronezh)
Abstract:
On flat $ n $-dimensional torus we study stochastic differential inclusions with mean derivatives, for which the right-hand sides have, generally speaking, not convex (aspherical) values. A subclass of such inclusions is distinguished for which there exists a sequence of $\varepsilon$-approximations, converging point-wise to a Borel measurable selector. On this base a solution existence theorem is obtained.
Keywords:
mean derivatives, differential inclusions, aspherical right-hand sides, point-wise convergence, solution existence.
Received: 14.01.2019 Accepted: 11.03.2020
Citation:
Yu. E. Gliklikh, “Differential inclusions with mean derivatives, having aspherical right-hand sides”, Chebyshevskii Sb., 21:2 (2020), 84–93
Linking options:
https://www.mathnet.ru/eng/cheb897 https://www.mathnet.ru/eng/cheb/v21/i2/p84
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Abstract page: | 108 | Full-text PDF : | 31 | References: | 25 |
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