http://dspace.bsuedu.ru/handle/123456789/65351| Title: | Cauchy problem for abstract singular equations containing the Bessel operator for negative values of the parameter |
| Authors: | Glushak, A.V. |
| Keywords: | mathematics mathematical analysis Euler-Poisson-Darboux equation initial conditions with high-order derivatives Bessel operator function factored equation unique solvability |
| Issue Date: | 2024 |
| Citation: | Glushak A.V. Cauchy problem for abstract singular equations containing the Bessel operator for negative values of the parameter / A.V. Glushak // Lobachevskii Journal of Mathematics. - 2024. - Vol.45, №9.-P. 4508-4519. - Doi: 10.1134/S1995080224605101. - Refer.: p. 4518-4519. |
| Abstract: | Euler-Poisson-Darboux equation is considered, containing the generator of the Bessel operator function. Sufficient conditions for the unique solvability of the Cauchy problem for negative values of the equation parameter are obtained, in this case, instead of the initial condition on the first derivative, a condition on the derivative of a higher order is specified |
| URI: | http://dspace.bsuedu.ru/handle/123456789/65351 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Glushak_Cauchy problem_24.pdf | 208.67 kB | Adobe PDF | View/Open |
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