Two problems for three-dimensional space analogue of the third order hyperbolic type equation
For a complete hyperbolic equation of the third order with variable coefficients in the infinite rectangle the problem with two integral conditions and conjugation on the characteristic plane (Problem I) is considered. As auxiliary Darboux problem is solved by Riemann method which is much simplified...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1114 |
| _version_ | 1818300533880913920 |
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| author | V. M. Dolgopolov I. N. Rodionova |
| author_facet | V. M. Dolgopolov I. N. Rodionova |
| author_sort | V. M. Dolgopolov |
| collection | DOAJ |
| description | For a complete hyperbolic equation of the third order with variable coefficients in the infinite rectangle the problem with two integral conditions and conjugation on the characteristic plane (Problem I) is considered. As auxiliary Darboux problem is solved by Riemann method which is much simplified by the special presentation of one of the boundary conditions. Taking Darboux problem as a basis for the solution, authors reduce the Problem I to the uniquely solvable integral equation, which gives an explicit solution to the Problem I. |
| first_indexed | 2024-12-13T05:08:38Z |
| format | Article |
| id | doaj.art-c11395ec8fc14be2b252331a35fa6264 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-13T05:08:38Z |
| publishDate | 2012-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-c11395ec8fc14be2b252331a35fa62642022-12-21T23:58:35ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-12-014(29)21221710.14498/vsgtu1114Two problems for three-dimensional space analogue of the third order hyperbolic type equationV. M. DolgopolovI. N. RodionovaFor a complete hyperbolic equation of the third order with variable coefficients in the infinite rectangle the problem with two integral conditions and conjugation on the characteristic plane (Problem I) is considered. As auxiliary Darboux problem is solved by Riemann method which is much simplified by the special presentation of one of the boundary conditions. Taking Darboux problem as a basis for the solution, authors reduce the Problem I to the uniquely solvable integral equation, which gives an explicit solution to the Problem I.http://mi.mathnet.ru/eng/vsgtu1114 |
| spellingShingle | V. M. Dolgopolov I. N. Rodionova Two problems for three-dimensional space analogue of the third order hyperbolic type equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Two problems for three-dimensional space analogue of the third order hyperbolic type equation |
| title_full | Two problems for three-dimensional space analogue of the third order hyperbolic type equation |
| title_fullStr | Two problems for three-dimensional space analogue of the third order hyperbolic type equation |
| title_full_unstemmed | Two problems for three-dimensional space analogue of the third order hyperbolic type equation |
| title_short | Two problems for three-dimensional space analogue of the third order hyperbolic type equation |
| title_sort | two problems for three dimensional space analogue of the third order hyperbolic type equation |
| url | http://mi.mathnet.ru/eng/vsgtu1114 |
| work_keys_str_mv | AT vmdolgopolov twoproblemsforthreedimensionalspaceanalogueofthethirdorderhyperbolictypeequation AT inrodionova twoproblemsforthreedimensionalspaceanalogueofthethirdorderhyperbolictypeequation |