http://dspace.bsu.edu.ru/handle/123456789/49971| Title: | Transmutation operators boundary value problems |
| Authors: | Sitnik, S. M. Yaremko, O. Yaremko, N. |
| Keywords: | mathematics mathematical analysis transmutation operators boundary value problems integral transforms Laplace equation Poisson operator |
| Issue Date: | 2020 |
| Citation: | Sitnik, S.M. Transmutation operators boundary value problems / S.M. Sitnik, O. Yaremko, N. Yaremko // Transmutation Operators and Applications / eds.: V.V. Kravchenko, S.M. Sitnik. - Cham, 2020. - Part.I.-P. 447-466. - (Trends in Mathematics). |
| Abstract: | Transmutation operators method is used to solve and study boundary value problems. In this paper several ways to obtain transformation operators are considered: the finite integral transforms, Neumann series, the Fourier transforms, and reflection techniques. The finite integral transform technique leads to solution in the form of a composition of the Fourier sine transform and inverse finite integral transform |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/49971 |
| 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_Transmutation.pdf | 253.92 kB | Adobe PDF | View/Open |
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