A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions
We propose a method for the construction of an analytic solution of the Cauchy problem for the telegraph equation that is based on its simulation by a one-dimensional Markov random evolution.
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| Datum: | 2000 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4517 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510645514928128 |
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| author | Samoilenko, I. V. Turbin, A. F. Самойленко, И. В. Турбин, А. Ф. Самойленко, И. В. Турбин, А. Ф. |
| author_facet | Samoilenko, I. V. Turbin, A. F. Самойленко, И. В. Турбин, А. Ф. Самойленко, И. В. Турбин, А. Ф. |
| author_sort | Samoilenko, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:18Z |
| description | We propose a method for the construction of an analytic solution of the Cauchy problem for the telegraph equation that is based on its simulation by a one-dimensional Markov random evolution. |
| first_indexed | 2026-03-24T03:00:17Z |
| format | Article |
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| id | umjimathkievua-article-4517 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:00:17Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f3/50fbd9efe7d98902211ee48fe544e4f3.pdf |
| spelling | umjimathkievua-article-45172020-03-18T20:30:18Z A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions Вероятностный метод решения телеграфного уравнения с вещественно-аналитическими начальными условиями Samoilenko, I. V. Turbin, A. F. Самойленко, И. В. Турбин, А. Ф. Самойленко, И. В. Турбин, А. Ф. We propose a method for the construction of an analytic solution of the Cauchy problem for the telegraph equation that is based on its simulation by a one-dimensional Markov random evolution. Запропоновано метод побудови аналітичного розв'язку задачі Коші для телеграфного рівняння, що базується па його моделюванні одновимірною марковською випадковою еволюцією. Institute of Mathematics, NAS of Ukraine 2000-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4517 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 8 (2000); 1127-1134 Український математичний журнал; Том 52 № 8 (2000); 1127-1134 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4517/5738 https://umj.imath.kiev.ua/index.php/umj/article/view/4517/5739 Copyright (c) 2000 Samoilenko I. V.; Turbin A. F. |
| spellingShingle | Samoilenko, I. V. Turbin, A. F. Самойленко, И. В. Турбин, А. Ф. Самойленко, И. В. Турбин, А. Ф. A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title | A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title_alt | Вероятностный метод решения телеграфного уравнения с вещественно-аналитическими начальными условиями |
| title_full | A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title_fullStr | A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title_full_unstemmed | A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title_short | A Probability Method for the Solution of the Telegraph Equation with Real-Analytic Initial Conditions |
| title_sort | probability method for the solution of the telegraph equation with real-analytic initial conditions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4517 |
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