http://dspace.bsu.edu.ru/handle/123456789/36914| Title: | Difference equations in a multidimensional space |
| Authors: | Vasilyev, A. V. Vasilyev, V. B. |
| Keywords: | difference equation singular integral equation symbol index Riemann boundary value problem multidimensional space |
| Issue Date: | 2016 |
| Citation: | Vasilyev, A. V. Difference equations in a multidimensional space / A.V. Vasilyev, V. B. Vasilyev // Mathematical Modelling and Analysis. - 2016. - Vol.21, №3. - P. 336-349. |
| Abstract: | One considers a general difference equation in a multidimensional space with continuous coefficients in the space of integrable functions. Necessary and suf- ficient conditions for a Fredholm property are obtained with a help of the Fourier transform and the Riemann boundary value problem. For simplest cases solvability conditions and formula of a general solution for the difference equation are given |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/36914 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Difference_equations_in_a_multidimension.pdf | 350.23 kB | Adobe PDF | View/Open |
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