Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations
It is obtained sufficient conditions for the existence of a strong solution (almost surely) of the stochastic diffusion equation with finite aftereffect under external random processes of arbitrary nature, and found sufficient conditions for the existence of even points of such equations.
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| Format: | Article |
| Language: | English |
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State University “Uzhhorod National University”
2017-06-01
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| Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/144047 |
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Article |
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doaj-cc5a4efc13374f6ea185ed9ec46a4b012021-09-02T15:57:48ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002017-06-0101(30)14315210.24144/2616-7700.2017.1(30).143-152144047Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbationsВ. К. ЯсинськийІ. В. ЮрченкоУ. М. КисілюкIt is obtained sufficient conditions for the existence of a strong solution (almost surely) of the stochastic diffusion equation with finite aftereffect under external random processes of arbitrary nature, and found sufficient conditions for the existence of even points of such equations.http://visnyk-math.uzhnu.edu.ua/article/view/144047 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
В. К. Ясинський І. В. Юрченко У. М. Кисілюк |
| spellingShingle |
В. К. Ясинський І. В. Юрченко У. М. Кисілюк Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| author_facet |
В. К. Ясинський І. В. Юрченко У. М. Кисілюк |
| author_sort |
В. К. Ясинський |
| title |
Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| title_short |
Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| title_full |
Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| title_fullStr |
Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| title_full_unstemmed |
Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| title_sort |
existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations |
| publisher |
State University “Uzhhorod National University” |
| series |
Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| issn |
2616-7700 |
| publishDate |
2017-06-01 |
| description |
It is obtained sufficient conditions for the existence of a strong solution (almost surely) of the stochastic diffusion equation with finite aftereffect under external random processes of arbitrary nature, and found sufficient conditions for the existence of even points of such equations. |
| url |
http://visnyk-math.uzhnu.edu.ua/article/view/144047 |
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