The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables
The solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it the solution of Goursat problem for the system o...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20951/17210 |
| _version_ | 1818059884469420032 |
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| author | Aleksander A Andreev Julia O Yakovleva |
| author_facet | Aleksander A Andreev Julia O Yakovleva |
| author_sort | Aleksander A Andreev |
| collection | DOAJ |
| description | The solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it the solution of Goursat problem for the system of the linear hyperbolic equations of the third order is constructed. |
| first_indexed | 2024-12-10T13:23:37Z |
| format | Article |
| id | doaj.art-9b18c98e367e474dbbecc2afab23d65d |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:23:37Z |
| publishDate | 2011-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-9b18c98e367e474dbbecc2afab23d65d2022-12-22T01:47:15ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-09-0153354118368The Goursat problem for one hyperbolic system of the third order differential equations with two independent variablesAleksander A Andreev0Julia O Yakovleva1Samara State Technical UniversitySamara State Technical UniversityThe solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it the solution of Goursat problem for the system of the linear hyperbolic equations of the third order is constructed.https://journals.eco-vector.com/1991-8615/article/viewFile/20951/17210hyperbolic system of the third order differential equationsadjoint equationgoursat problemriemann methodriemann matrix |
| spellingShingle | Aleksander A Andreev Julia O Yakovleva The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki hyperbolic system of the third order differential equations adjoint equation goursat problem riemann method riemann matrix |
| title | The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| title_full | The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| title_fullStr | The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| title_full_unstemmed | The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| title_short | The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| title_sort | goursat problem for one hyperbolic system of the third order differential equations with two independent variables |
| topic | hyperbolic system of the third order differential equations adjoint equation goursat problem riemann method riemann matrix |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20951/17210 |
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