A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation
The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the resul...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/618359 |
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| author | A. M. A. Abou-El-Ela A. I. Sadek A. M. Mahmoud R. O. A. Taie |
| author_facet | A. M. A. Abou-El-Ela A. I. Sadek A. M. Mahmoud R. O. A. Taie |
| author_sort | A. M. A. Abou-El-Ela |
| collection | DOAJ |
| description | The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the result of stability. |
| format | Article |
| id | doaj-art-df15e93098ea41ffa32bd796d0b2eb25 |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-df15e93098ea41ffa32bd796d0b2eb252025-08-20T02:21:06ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/618359618359A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential EquationA. M. A. Abou-El-Ela0A. I. Sadek1A. M. Mahmoud2R. O. A. Taie3Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, New Valley Branch, New Valley, El-khargah 72111, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptThe main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the result of stability.http://dx.doi.org/10.1155/2015/618359 |
| spellingShingle | A. M. A. Abou-El-Ela A. I. Sadek A. M. Mahmoud R. O. A. Taie A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation International Journal of Differential Equations |
| title | A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation |
| title_full | A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation |
| title_fullStr | A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation |
| title_full_unstemmed | A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation |
| title_short | A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation |
| title_sort | stability result for the solutions of a certain system of fourth order delay differential equation |
| url | http://dx.doi.org/10.1155/2015/618359 |
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