The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction
The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. Applying methods of functional analysis, “ε-regularizing” continuation by the parameter and by means...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/703652 |
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| _version_ | 1832567726791458816 |
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| author | Mahammad A. Nurmammadov |
| author_facet | Mahammad A. Nurmammadov |
| author_sort | Mahammad A. Nurmammadov |
| collection | DOAJ |
| description | The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. Applying methods of functional analysis, “ε-regularizing” continuation by the parameter and by means of prior estimates, the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev space. |
| format | Article |
| id | doaj-art-5c372a1c7f244979b054aaa0d2d80a3c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5c372a1c7f244979b054aaa0d2d80a3c2025-02-03T01:00:37ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/703652703652The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time DirectionMahammad A. Nurmammadov0Department of Mathematics, Azerbaijan Architecture and Building University, 5 A. Sultanova Street, 1073 Baku, AzerbaijanThe existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. Applying methods of functional analysis, “ε-regularizing” continuation by the parameter and by means of prior estimates, the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev space.http://dx.doi.org/10.1155/2015/703652 |
| spellingShingle | Mahammad A. Nurmammadov The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction Abstract and Applied Analysis |
| title | The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction |
| title_full | The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction |
| title_fullStr | The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction |
| title_full_unstemmed | The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction |
| title_short | The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction |
| title_sort | existence and uniqueness of a new boundary value problem type of problem e for linear system equations of the mixed hyperbolic elliptic type in the multivariate dimension with the changing time direction |
| url | http://dx.doi.org/10.1155/2015/703652 |
| work_keys_str_mv | AT mahammadanurmammadov theexistenceanduniquenessofanewboundaryvalueproblemtypeofproblemeforlinearsystemequationsofthemixedhyperbolicelliptictypeinthemultivariatedimensionwiththechangingtimedirection AT mahammadanurmammadov existenceanduniquenessofanewboundaryvalueproblemtypeofproblemeforlinearsystemequationsofthemixedhyperbolicelliptictypeinthemultivariatedimensionwiththechangingtimedirection |