http://dspace.bsu.edu.ru/handle/123456789/61800
Title: | On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant |
Authors: | Vasilyev, V. Vasilyev, A. Mashinets, A. |
Keywords: | mathematics mathematical analysis elliptic symbol invertibility digital pseudo-differential operator discrete equation periodic wave factorization system of integral equation |
Issue Date: | 2023 |
Citation: | Vasilyev, V. On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant / V. Vasilyev, A. Vasilyev, A. Mashinets // Boletín de la Sociedad Matemática Mexicana. - 2023. - Vol.29.-Art. 53. - URL: https://link.springer.com/article/10.1007/s40590-023-00527-x. |
Abstract: | We study a general discrete boundary value problem in Sobolev-Slobodetskii spaces in a plane quadrant and reduce it to a system of integral equations.We show a solvability of the system for a small size of discreteness starting from a solvability of its continuous analogue |
URI: | http://dspace.bsu.edu.ru/handle/123456789/61800 |
Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
File | Description | Size | Format | |
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Vasilev_General_23.pdf | 415.32 kB | Adobe PDF | View/Open |
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