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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 84–93
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-84-93
(Mi cheb897)
 

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)
Full-text PDF (645 kB) Citations (1)
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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
Document Type: Article
UDC: 517.9
Language: English
Citation: Yu. E. Gliklikh, “Differential inclusions with mean derivatives, having aspherical right-hand sides”, Chebyshevskii Sb., 21:2 (2020), 84–93
Citation in format AMSBIB
\Bibitem{Gli20}
\by Yu.~E.~Gliklikh
\paper Differential inclusions with mean derivatives, having aspherical right-hand sides
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 84--93
\mathnet{http://mi.mathnet.ru/cheb897}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-84-93}
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  • https://www.mathnet.ru/eng/cheb/v21/i2/p84
  • This publication is cited in the following 1 articles:
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    References:25
     
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