http://dspace.bsu.edu.ru/handle/123456789/63403| Title: | The Cauchy problem for the degenerate beam vibration equation |
| Authors: | Sitnik, S. M. Karimov, Sh. T. Tulasheva, Y. |
| Keywords: | mathematic mathematical analysis differential equation Cauchy problem transmutation operator generalizations of the Erdelyi-Kober operators |
| Issue Date: | 2023 |
| Citation: | Sitnik, S.M. The Cauchy problem for the degenerate beam vibration equation / S.M. Sitnik, Karimov Sh.T., Y. Tulasheva // Journal of Mathematical Sciences. - 2023. - Vol.277, №3.-P. 458-466. - Doi: 10.1007/s10958-023-06849-5. |
| Abstract: | We study the Cauchy problem for a degenerate differential equation of beam vibrations. Using the generalized Erd´elyi-Kober operator, possessing the property of a transmutation operator, we reduce the original problem to a problem for a nondegenerate equation. An explicit formula for the solution is constructed |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/63403 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sitnik_The cauchy_23.pdf | 129.26 kB | Adobe PDF | View/Open |
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