Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source)
We study the time evolution of a solution of the Cauchy problem for a stochastic differential equation of the parabolic type with power nonlinearities. We construct upper and lower bounds for this solution.
Saved in:
| Date: | 2002 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4040 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510172824207360 |
|---|---|
| author | Mel'nik, S. A. Мельник, С. А. Мельник, С. А. |
| author_facet | Mel'nik, S. A. Мельник, С. А. Мельник, С. А. |
| author_sort | Mel'nik, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:16Z |
| description | We study the time evolution of a solution of the Cauchy problem for a stochastic differential equation of the parabolic type with power nonlinearities. We construct upper and lower bounds for this solution. |
| first_indexed | 2026-03-24T02:52:47Z |
| format | Article |
| fulltext |
0059
0060
0061
0062
0063
0064
0065
0066
|
| id | umjimathkievua-article-4040 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:47Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b3/d03753aeb1dcb00bf84f296a05f228b3.pdf |
| spelling | umjimathkievua-article-40402020-03-18T20:20:16Z Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) Верхняя и нижняя оценки решения задачи Коши для стохастического дифференциального уравнения параболического типа со степенными нелинейностями (слабый источник) Mel'nik, S. A. Мельник, С. А. Мельник, С. А. We study the time evolution of a solution of the Cauchy problem for a stochastic differential equation of the parabolic type with power nonlinearities. We construct upper and lower bounds for this solution. Вивчається еволюція за часом розв'язку задачі Коші для стохастичного диференціального рівняння параболічного типу зі степеневими нелінійностями. Побудовано верхню та нижню оцінки розв'язку. Institute of Mathematics, NAS of Ukraine 2002-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4040 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 1 (2002); 63-70 Український математичний журнал; Том 54 № 1 (2002); 63-70 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4040/4790 https://umj.imath.kiev.ua/index.php/umj/article/view/4040/4791 Copyright (c) 2002 Mel'nik S. A. |
| spellingShingle | Mel'nik, S. A. Мельник, С. А. Мельник, С. А. Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title | Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title_alt | Верхняя и нижняя оценки решения задачи Коши для стохастического дифференциального уравнения параболического типа со степенными нелинейностями (слабый источник) |
| title_full | Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title_fullStr | Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title_full_unstemmed | Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title_short | Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source) |
| title_sort | upper and lower bounds of a solution of the cauchy problem for a stochastic differential equation of parabolic type with power nonlinearities (weak source) |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4040 |
| work_keys_str_mv | AT mel039niksa upperandlowerboundsofasolutionofthecauchyproblemforastochasticdifferentialequationofparabolictypewithpowernonlinearitiesweaksource AT melʹniksa upperandlowerboundsofasolutionofthecauchyproblemforastochasticdifferentialequationofparabolictypewithpowernonlinearitiesweaksource AT melʹniksa upperandlowerboundsofasolutionofthecauchyproblemforastochasticdifferentialequationofparabolictypewithpowernonlinearitiesweaksource AT mel039niksa verhnââinižnââocenkirešeniâzadačikošidlâstohastičeskogodifferencialʹnogouravneniâparaboličeskogotipasostepennyminelinejnostâmislabyjistočnik AT melʹniksa verhnââinižnââocenkirešeniâzadačikošidlâstohastičeskogodifferencialʹnogouravneniâparaboličeskogotipasostepennyminelinejnostâmislabyjistočnik AT melʹniksa verhnââinižnââocenkirešeniâzadačikošidlâstohastičeskogodifferencialʹnogouravneniâparaboličeskogotipasostepennyminelinejnostâmislabyjistočnik |