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dc.contributor.author | Shestakov, A. L. | |
dc.contributor.author | Sagadeeva, M. A. | |
dc.contributor.author | Шестаков, А. Л. | |
dc.contributor.author | Сагадеева, М. А. | |
dc.date.accessioned | 2015-09-28T09:01:35Z | |
dc.date.available | 2015-09-28T09:01:35Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Shestakov, A. L. Stochastic leontieff-type equations with multiplicative effect in spaces of complex-valued "noises" / A. L. Shestakov, M. A. Sagadeeva // Вестник ЮУрГУ. Серия Математическое моделирование и программирование.- 2014.- Т. 7. № 4.- С. 132-139.- Библиогр.: с. 136-137 (13 назв.) | ru_RU |
dc.identifier.issn | 2071-0216 | |
dc.identifier.uri | http://dspace.susu.ac.ru/xmlui/handle/0001.74/5290 | |
dc.description | A.L. Shestakov, South Ural State University, Chelyabinsk, Russian Federation, admin@susu.ac.ru,M.A. Sagadeeva, South Ural State University, Chelyabinsk, Russian Federation,sam79@74.ru | ru_RU |
dc.description.abstract | We consider a Leontieff-type stochastic equation, that is, a system of differential equations implicit with respect to the time derivative in the spaces of random processes. The concepts previously introduced for the spaces of differentiable "noise" using the Nelson Gliklikh derivative carry over to the case of complex-valued "noise"; in addition, the right-hand side of the equation is subject to multiplicative effect of a special form. We construct a solution to the Showalter Sidorov problem for Leontieff-type equations with multiplicative effect of a complex-valued process of special form. Aside from the introduction and references, the article consists of two parts. In the frst part we carry over various concepts of the space of real-valued differentiable "noise" to the complex-valued case. In the second part we construct a Showalter Sidorov solution to a Leontieff-type equation with multiplicative effect of a complex-valued process of special form. The list of references is not intended to be complete and reffects only the authors' personal preferences. | ru_RU |
dc.language.iso | other | ru_RU |
dc.publisher | Издательский центр ЮУрГУ | ru_RU |
dc.relation.isformatof | Вестник ЮУрГУ. Серия Математическое моделирование и программирование | ru_RU |
dc.relation.isformatof | Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe modelirovanie i programmirovanie | ru_RU |
dc.relation.isformatof | Bulletin of SUSU | ru_RU |
dc.relation.ispartofseries | Математическое моделирование и программирование;Том 7 | |
dc.subject | Leontieff-type equations | ru_RU |
dc.subject | multiplicative effect | ru_RU |
dc.subject | Wiener process | ru_RU |
dc.subject | Nelson Gliklikh derivative | ru_RU |
dc.subject | space of complex-valued "noises" | ru_RU |
dc.subject | "white noise" | ru_RU |
dc.subject | уравнение леонтьевского типа | ru_RU |
dc.subject | мультипликативное воздействие | ru_RU |
dc.subject | винеровский процесс | ru_RU |
dc.subject | производная Нельсона - Гликлиха | ru_RU |
dc.subject | пространство комплекснозначных "шумов" | ru_RU |
dc.subject | "белый шум" | ru_RU |
dc.subject | УДК 517.9 | ru_RU |
dc.subject | УДК 519.21 | ru_RU |
dc.subject | ГРНТИ 27.43 | ru_RU |
dc.title | Stochastic leontieff-type equations with multiplicative effect in spaces of complex-valued "noises" | ru_RU |
dc.title.alternative | Стохастические уравнения леонтьевского типа с мультипликативным воздействием в пространствах комплекснозначных «шумов» | ru_RU |
dc.type | Article | ru_RU |