Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping
All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/484158 |
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| _version_ | 1832550054829752320 |
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| author | Chengmin Hou Sui Sun Cheng |
| author_facet | Chengmin Hou Sui Sun Cheng |
| author_sort | Chengmin Hou |
| collection | DOAJ |
| description | All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated. |
| format | Article |
| id | doaj-art-328f576e41314ef9a5bca7c82e40ceeb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-328f576e41314ef9a5bca7c82e40ceeb2025-02-03T06:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/484158484158Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with DampingChengmin Hou0Sui Sun Cheng1Department of Mathematics, Yanbian University, Yanji 133002, ChinaDepartment of Mathematics, Tsing Hua University, Hsinchu 30043, TaiwanAll solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated.http://dx.doi.org/10.1155/2009/484158 |
| spellingShingle | Chengmin Hou Sui Sun Cheng Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping Abstract and Applied Analysis |
| title | Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping |
| title_full | Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping |
| title_fullStr | Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping |
| title_full_unstemmed | Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping |
| title_short | Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping |
| title_sort | asymptotic dichotomy in a class of fourth order nonlinear delay differential equations with damping |
| url | http://dx.doi.org/10.1155/2009/484158 |
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