Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument
By using the method of integral equations, we prove the existence and uniqueness of a regular solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument.
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5131 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511330297970688 |
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| author | Zarubin, A. N. Зарубин, А. Н. Зарубин, А. Н. |
| author_facet | Zarubin, A. N. Зарубин, А. Н. Зарубин, А. Н. |
| author_sort | Zarubin, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:28Z |
| description | By using the method of integral equations, we prove the existence and uniqueness of a regular solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument. |
| first_indexed | 2026-03-24T03:11:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5131 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:11Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/67/2ac34ab59cad81360bfb32be2d620d67.pdf |
| spelling | umjimathkievua-article-51312020-03-18T21:25:28Z Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument Интегральное представление решения задачи Коши для вырождающегося гиперболического уравнения с запаздывающим аргументом Zarubin, A. N. Зарубин, А. Н. Зарубин, А. Н. By using the method of integral equations, we prove the existence and uniqueness of a regular solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument. Методом інтегральних рівнянь доведено існування та єдиність регулярного розв'язку задачі Коші для вироджуваного гіперболічного рівняння з загаювальним аргументом. Institute of Mathematics, NAS of Ukraine 1997-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5131 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 10 (1997); 1332–1336 Український математичний журнал; Том 49 № 10 (1997); 1332–1336 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5131/6958 https://umj.imath.kiev.ua/index.php/umj/article/view/5131/6959 Copyright (c) 1997 Zarubin A. N. |
| spellingShingle | Zarubin, A. N. Зарубин, А. Н. Зарубин, А. Н. Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title | Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title_alt | Интегральное представление решения задачи Коши для вырождающегося гиперболического уравнения с запаздывающим аргументом |
| title_full | Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title_fullStr | Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title_full_unstemmed | Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title_short | Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument |
| title_sort | integral representation of a solution of the cauchy problem for a degenerating hyperbolic equation with retarded argument |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5131 |
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