Hyperbolic differential-operator equations on a whole axis
We give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of the same order as equations. The case of stable solutions of abstract hyperbolic equations is treated....
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504311103 |
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| _version_ | 1832554207156109312 |
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| author | Yakov Yakubov |
| author_facet | Yakov Yakubov |
| author_sort | Yakov Yakubov |
| collection | DOAJ |
| description | We give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of the same order as equations. The case of stable solutions of abstract hyperbolic equations is treated. Then we show applications of obtained abstract results to hyperbolic differential equations which, in particular, may represent the longitudinal displacements of an inhomogeneous rod under the action of forces at the two ends which are proportional to the acceleration. |
| format | Article |
| id | doaj-art-27d35463f2be48a19e894abbbb1cac8e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-27d35463f2be48a19e894abbbb1cac8e2025-02-03T05:52:09ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-01200429911310.1155/S1085337504311103Hyperbolic differential-operator equations on a whole axisYakov Yakubov0Raymond and Beverly Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Sciences, Tel-Aviv University, Ramat-Aviv 69978, IsraelWe give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of the same order as equations. The case of stable solutions of abstract hyperbolic equations is treated. Then we show applications of obtained abstract results to hyperbolic differential equations which, in particular, may represent the longitudinal displacements of an inhomogeneous rod under the action of forces at the two ends which are proportional to the acceleration.http://dx.doi.org/10.1155/S1085337504311103 |
| spellingShingle | Yakov Yakubov Hyperbolic differential-operator equations on a whole axis Abstract and Applied Analysis |
| title | Hyperbolic differential-operator equations on a whole axis |
| title_full | Hyperbolic differential-operator equations on a whole axis |
| title_fullStr | Hyperbolic differential-operator equations on a whole axis |
| title_full_unstemmed | Hyperbolic differential-operator equations on a whole axis |
| title_short | Hyperbolic differential-operator equations on a whole axis |
| title_sort | hyperbolic differential operator equations on a whole axis |
| url | http://dx.doi.org/10.1155/S1085337504311103 |
| work_keys_str_mv | AT yakovyakubov hyperbolicdifferentialoperatorequationsonawholeaxis |