Boundary value problem for the four-dimensional Gellerstedt equation
| dc.contributor.author | Berdyshev, A.S. | |
| dc.contributor.author | Ryskan, A.R. | |
| dc.date.accessioned | 2022-03-15T11:25:13Z | |
| dc.date.available | 2022-03-15T11:25:13Z | |
| dc.date.issued | 2021-12-30 | |
| dc.description.abstract | In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables was investigated. The energy integral method was used to prove the uniqueness of the solution to the problem. In addition to it, formulas for differentiation, autotransformation, and decomposition of hypergeometric functions were applied. The solution was obtained explicitly and expressed by Lauricella’s hypergeometric function. | ru_RU |
| dc.identifier.citation | Berdyshev A.S. Boundary value problem for the four-dimensional Gellerstedt equation/A.S. Berdyshev, A.R. Ryskan//Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series. -2021. №4. Р.35-48. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/12035 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | KU Publ. | ru_RU |
| dc.relation.ispartofseries | Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series.;№4(104)/2021 | |
| dc.subject | Gellerstedt equation | ru_RU |
| dc.subject | boundary value problem with mixed conditions | ru_RU |
| dc.subject | fundamental solution | ru_RU |
| dc.title | Boundary value problem for the four-dimensional Gellerstedt equation | ru_RU |
| dc.title.alternative | Төрт өлшемді Геллерстедт теңдеуі үшін шеттік есеп | ru_RU |
| dc.title.alternative | Краевая задача для четырехменого уравнения Геллерстедта | ru_RU |
| dc.type | Article | ru_RU |