Výsledky vyhledávání - "Alla V Makarova"

Akademický článek

On existence of solution in $\mathbb R^n$ of stochastic differential inclusions with current velocities in the presence of approximations with uniformly bounded first partial derivatives

Autor: Alla V Makarova, Anzhelika A Demchuk, Svetlana S Novikova

Publikováno v: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 21, Iss 1, Pp 42-54 (2017)

Notion of mean derivatives was introduced by Edward Nelson for the needs of stochastic mechanics (a version of quantum mechanics). Nelson introduced forward and backward mean derivatives while only their half-sum, symmetric mean derivative called cur

Externí odkaz: https://doaj.org/article/fd9aabe0385e4ff3807eac964989ade4

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On existence of solution in $\mathbb{R}^n$ of stochastic differential inclusions with current velocities in the presence of approximations with uniformly bounded first partial derivatives

Autor: Alla V. Makarova, Anzhelika A. Demchuk, Svetlana S. Novikova

Publikováno v: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 21, Iss 1, Pp 42-54 (2017)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::7064736a3b554477e37d1e6f4e174170
http://mi.mathnet.ru/eng/vsgtu1532

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On existence of optimal solutions for stochastic differential equations and inclusions with current velocities

Autor: Olga O. Zheltikova, Yuri E. Gliklikh, Alla V. Makarova

Publikováno v: Applicable Analysis. 96:2917-2927

For a stochastic differential inclusion given in terms of current velocities (symmetric mean derivatives) on flat n-dimensional torus, we prove the existence of optimal solution minimizing a certain cost criterion. Then this result is applied to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f9a6ebe81affb62968e4e0feba87d747
https://doi.org/10.1080/00036811.2016.1253066

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On solvability of stochastic differential inclusions with current velocities

Autor: Alla V. Makarova, Yuri E. Gliklikh

Publikováno v: Applicable Analysis. 91:1731-1739

An existence of solution theorem is obtained for stochastic differential inclusions given in terms of the so-called current velocities (direct analogues of ordinary velocity of deterministic systems) and quadratic mean derivatives (giving information

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e6b82688deb85408197e82017528d72
https://doi.org/10.1080/00036811.2011.579565

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