Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries
We investigate a diffusion process ξ(t) with absorption defined in a thin domainD ε ={(x,t)∶εG 1 (t)
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4711 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510873386221568 |
|---|---|
| author | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. |
| author_facet | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. |
| author_sort | Gasanenko, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:12:04Z |
| description | We investigate a diffusion process ξ(t) with absorption defined in a thin domainD ε ={(x,t)∶εG 1 (t) |
| first_indexed | 2026-03-24T03:03:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4711 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:55Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e9/0ae71c033019ee3f31141e71ad2ff0e9.pdf |
| spelling | umjimathkievua-article-47112020-03-18T21:12:04Z Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries Полное асимптотическое разложение вероятности пребывания диффузионного процесса в тонких областях с подвижными границами Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. We investigate a diffusion process ξ(t) with absorption defined in a thin domainD ε ={(x,t)∶εG 1 (t) Досліджується дифузійний процес з поглинанням $ξ(t)$ визначений у вузькій області: $D_{ε} = \{(x,t)∶ εG_1 (t)< x < εG_2 (t),\; t ≥ 0\}.$. Отримано повне розвинення, відносно $ε → 0$, ймовірності перебування $ξ(t) $ в $D_{ ε}$. Institute of Mathematics, NAS of Ukraine 1999-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4711 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 9 (1999); 1155–1164 Український математичний журнал; Том 51 № 9 (1999); 1155–1164 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4711/6123 https://umj.imath.kiev.ua/index.php/umj/article/view/4711/6124 Copyright (c) 1999 Gasanenko V. A. |
| spellingShingle | Gasanenko, V. A. Гасаненко, В. А. Гасаненко, В. А. Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title | Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title_alt | Полное асимптотическое разложение вероятности пребывания диффузионного процесса в тонких областях с подвижными границами |
| title_full | Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title_fullStr | Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title_full_unstemmed | Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title_short | Complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| title_sort | complete asymptotic decomposition of the sojourn probability of a diffusion process in thin domains with moving boundaries |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4711 |
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