Reduced description of multi-particle systems with continuous random correlation
For a system of identical particles, described by stochastic differential equations of the continuous type, we derive a kinetic equation and equations for statistically independent Markov limit trajectories of the particles.
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| Datum: | 1991 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9320 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513498737410048 |
|---|---|
| author | Kotlyarov , O. L. Котляров , О. Л. |
| author_facet | Kotlyarov , O. L. Котляров , О. Л. |
| author_sort | Kotlyarov , O. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | For a system of identical particles, described by stochastic differential equations of the continuous type, we derive a kinetic equation and equations for statistically independent Markov limit trajectories of the particles. |
| first_indexed | 2026-03-24T03:45:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9320 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:38Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f1/52fc0d8c2da49fb027e3de1184340cf1 |
| spelling | umjimathkievua-article-93202025-06-19T08:20:09Z Reduced description of multi-particle systems with continuous random correlation Сокращенное описание многочастичных систем с непрерывным случайным взаимодействием Kotlyarov , O. L. Котляров , О. Л. For a system of identical particles, described by stochastic differential equations of the continuous type, we derive a kinetic equation and equations for statistically independent Markov limit trajectories of the particles. Для системы одинаковых частиц, описываемой стохастическими дифференциальными уравнениями непрерывного типа, получены кинетическое уравнение и уравнения для статистически независимых марковских предельных траекторий частиц. Для системи однакових частинок. що описується стохастичними диференціальними рівняннями неперервного типу, одержано кінетичне рівняння та рівняння для статистично незалежних марківських граничних траєкторій частинок. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9320 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 137-140 Український математичний журнал; Том 43 № 1 (1991); 137-140 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9320/10495 Copyright (c) 1991 О. Л. Котляров |
| spellingShingle | Kotlyarov , O. L. Котляров , О. Л. Reduced description of multi-particle systems with continuous random correlation |
| title | Reduced description of multi-particle systems with continuous random correlation |
| title_alt | Сокращенное описание многочастичных систем с непрерывным случайным взаимодействием |
| title_full | Reduced description of multi-particle systems with continuous random correlation |
| title_fullStr | Reduced description of multi-particle systems with continuous random correlation |
| title_full_unstemmed | Reduced description of multi-particle systems with continuous random correlation |
| title_short | Reduced description of multi-particle systems with continuous random correlation |
| title_sort | reduced description of multi-particle systems with continuous random correlation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9320 |
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