S. V. Azarina, Yu. E. Gliklikh, “On the Solvability of Nonautonomous Stochastic Differential Equations with Current Velocities”, Mat. Zametki, 100:1 (2016), 3–12; Math. Notes, 100:1 (2016), 3

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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 3–12
DOI: https://doi.org/10.4213/mzm11130 (Mi mzm11130)

This article is cited in 11 scientific papers (total in 12 papers)

On the Solvability of Nonautonomous Stochastic Differential Equations with Current Velocities

S. V. Azarina^a, Yu. E. Gliklikh^b

^a Kuban State University, Krasnodar
^b Voronezh State University

Full-text PDF (479 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm11130

Abstract: Under natural conditions, we prove an existence theorem for stochastic differential equations with current velocities (mean derivatives) and with nonautonomous right-hand side.

Keywords: mean derivative, current velocity, equation with current velocities, existence of a solution.

Funding agency	Grant number
Russian Science Foundation	14-21-00066
This work was supported by the Russian Science Foundation under grant 14-21-00066 at Voronezh State University.

Received: 02.09.2015
Revised: 29.11.2015

English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 3–10
DOI: https://doi.org/10.1134/S0001434616070014

Bibliographic databases:

Document Type: Article

UDC: 519.216

Language: Russian

Citation: S. V. Azarina, Yu. E. Gliklikh, “On the Solvability of Nonautonomous Stochastic Differential Equations with Current Velocities”, Mat. Zametki, 100:1 (2016), 3–12; Math. Notes, 100:1 (2016), 3–10

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Linking options:

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https://doi.org/10.4213/mzm11130

https://www.mathnet.ru/eng/mzm/v100/i1/p3

This publication is cited in the following 12 articles:

Yu. E. Gliklikh, “Stochastic Equations and Inclusions with Mean Derivatives and Their Applications”, J Math Sci, 282:2 (2024), 111
“Models of Viscous Fluids Generated by Martingales on the Groups of Diffeomorphisms”, JCEM, 10:1 (2023)
Yu. E. Gliklikh, “Stokhasticheskie uravneniya i vklyucheniya s proizvodnymi v srednem i ikh prilozheniya”, SMFN, 68, no. 2, Rossiiskii universitet druzhby narodov, M., 2022, 191–337
Yuri E. Gliklikh, Springer Proceedings in Mathematics & Statistics, 358, Operator Theory and Harmonic Analysis, 2021, 167
“Abstracts of talks given at the 4th International Conference on Stochastic Methods”, Theory Probab. Appl., 65:1 (2020), 121–172
Yu. E. Gliklikh, “On solvability of stochastic differential equations with osmotic velocities”, Theory Probab. Appl., 65:4 (2021), 640–647
Yu. E. Gliklikh, T. A. Shchichko, “On the completeness of stochastic flows generated by equations with current velocities”, Theory Probab. Appl., 64:1 (2019), 1–11
“Abstracts of talks given at the 3rd International Conference on Stochastic Methods”, Theory Probab. Appl., 64:1 (2019), 124–169
Yu. E. Gliklikh, G. A. Vlaskov, “On modelling the convecting polar ionosphere”, J. Comp. Eng. Math., 6:1 (2019), 63–67
Yuri E. Gliklikh, Springer Proceedings in Mathematics & Statistics, 291, Modern Methods in Operator Theory and Harmonic Analysis, 2019, 363
Yu. E. Gliklikh, A. V. Makarova, “Stochastic inclusions with current velocities having decomposable right-hand sides”, J. Comp. Eng. Math., 5:2 (2018), 34–43
S. Balasuriya, “Stochastic uncertainty of advected curves in finite-time unsteady flows”, Phys. Rev. E, 95:6 (2017), 062201

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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