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Integro-Differential Equations Generated by Stochastic Problems

Электронный научный архив УРФУ

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Поле Значение
 
Заглавие Integro-Differential Equations Generated by Stochastic Problems
 
Автор Melnikova, I. V.
Bovkun, V. A.
Alekseeva, U. A.
 
Тематика MCNPX
PHY-X/PSD
RADIATION SHIELDING
WO3-TEO2-B2O3 GLASSES
 
Описание Abstract: The connections between stochastic differential equations in which continuous anddiscontinuous random processes serve as sources of randomness and deterministic equations forthe probabilistic characteristics of solutions of these stochastic equations are studied. In the study,we use various approaches based on the stochastic change of variables formula (Itô’sformula), on the analysis of local infinitesimal characteristics of the process, and on the theory ofsemigroups of operators in combination with the generalized Fourier transform. This allows us toobtain direct and inverse integro-differential equations for various probabilistic characteristics. © 2021, Pleiades Publishing, Ltd.
Government Council on Grants, Russian Federation
This work was supported by Act no. 211 of the Government of the Russian Federation, contract no. 02.A03.21.0006.
 
Дата 2024-04-22T15:53:44Z
2024-04-22T15:53:44Z
2021
 
Тип Article
Journal article (info:eu-repo/semantics/article)
Published version (info:eu-repo/semantics/publishedVersion)
 
Идентификатор Melnikova, IV, Bovkun, VA & Alekseeva, UA 2021, 'Integro-Differential Equations Generated by Stochastic Problems', Differential Equations, Том. 57, № 3, стр. 379-390. https://doi.org/10.1134/S0012266121030101
Melnikova, I. V., Bovkun, V. A., & Alekseeva, U. A. (2021). Integro-Differential Equations Generated by Stochastic Problems. Differential Equations, 57(3), 379-390. https://doi.org/10.1134/S0012266121030101
0012-2661
Final
All Open Access; Bronze Open Access
https://link.springer.com/content/pdf/10.1134/S0012266121030101.pdf
https://link.springer.com/content/pdf/10.1134/S0012266121030101.pdf
http://elar.urfu.ru/handle/10995/132483
10.1134/S0012266121030101
85104423997
640213600010
 
Язык en
 
Права Open access (info:eu-repo/semantics/openAccess)
cc-by
 
Формат application/pdf
 
Издатель Pleiades journals
 
Источник Differential Equations
Differential Equations