Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations
We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. A complete Lyapunov function is employed in this work which makes the results to include and improve some existing resul...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/12536 |
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| _version_ | 1849403854738685952 |
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| author | B. S. Ogundare G. E. Okecha |
| author_facet | B. S. Ogundare G. E. Okecha |
| author_sort | B. S. Ogundare |
| collection | DOAJ |
| description | We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. A complete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature. |
| format | Article |
| id | doaj-art-97adff4933db45bf8e5b2591e2330de9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-97adff4933db45bf8e5b2591e2330de92025-08-20T03:37:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/1253612536Convergence of Solutions of Certain Fourth-Order Nonlinear Differential EquationsB. S. Ogundare0G. E. Okecha1Department of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, NigeriaDepartment of Pure and Applied Mathematics, University of Fort Hare, Alice 5700, South AfricaWe give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov's second method. A complete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature.http://dx.doi.org/10.1155/2007/12536 |
| spellingShingle | B. S. Ogundare G. E. Okecha Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations International Journal of Mathematics and Mathematical Sciences |
| title | Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations |
| title_full | Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations |
| title_fullStr | Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations |
| title_full_unstemmed | Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations |
| title_short | Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations |
| title_sort | convergence of solutions of certain fourth order nonlinear differential equations |
| url | http://dx.doi.org/10.1155/2007/12536 |
| work_keys_str_mv | AT bsogundare convergenceofsolutionsofcertainfourthordernonlineardifferentialequations AT geokecha convergenceofsolutionsofcertainfourthordernonlineardifferentialequations |