Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type
In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored. The matter of principle is the fact, that the considered equation has discontinuous coefficients...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-03-01
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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/20882/17141 |
| _version_ | 1818278331177500672 |
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| author | Ilgar G Mamedov |
| author_facet | Ilgar G Mamedov |
| author_sort | Ilgar G Mamedov |
| collection | DOAJ |
| description | In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored. The matter of principle is the fact, that the considered equation has discontinuous coefficients which satisfy only some conditions of P-integrability type and boundedness, i.e. the considered hyperbolic differential operator has no traditional conjugate operator. In particular, for example, Riemann function under Goursat conditions for such equation cannot be constructed by classical method of characteristics. |
| first_indexed | 2024-12-12T23:15:44Z |
| format | Article |
| id | doaj.art-2e467ec4331e4aa6a5a7cc5f63cd7365 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:15:44Z |
| publishDate | 2012-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-2e467ec4331e4aa6a5a7cc5f63cd73652022-12-22T00:08:27ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-03-0116182018299Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi typeIlgar G Mamedov0A. I. Huseynov Institute of Cybernetics of NAS of AzerbaijanIn this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored. The matter of principle is the fact, that the considered equation has discontinuous coefficients which satisfy only some conditions of P-integrability type and boundedness, i.e. the considered hyperbolic differential operator has no traditional conjugate operator. In particular, for example, Riemann function under Goursat conditions for such equation cannot be constructed by classical method of characteristics.https://journals.eco-vector.com/1991-8615/article/viewFile/20882/17141three-dimensional non-local boundary problemloaded integro-differential equationshyperbolic equationequations with discontinuous coefficients |
| spellingShingle | Ilgar G Mamedov Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki three-dimensional non-local boundary problem loaded integro-differential equations hyperbolic equation equations with discontinuous coefficients |
| title | Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type |
| title_full | Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type |
| title_fullStr | Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type |
| title_full_unstemmed | Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type |
| title_short | Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type |
| title_sort | three dimensional integro multipoint boundary value problem for loaded volterra hyperbolic integro differential equations of bianchi type |
| topic | three-dimensional non-local boundary problem loaded integro-differential equations hyperbolic equation equations with discontinuous coefficients |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20882/17141 |
| work_keys_str_mv | AT ilgargmamedov threedimensionalintegromultipointboundaryvalueproblemforloadedvolterrahyperbolicintegrodifferentialequationsofbianchitype |