On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations
We studied the global stability and boundedness results of third-order nonlinear differential equations of the form . Particular cases of this equation have been studied by many authors over years. However, this particular form is a generalization of the earlier ones. A Lyapunov function was use...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/103260 |
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| _version_ | 1832551641166905344 |
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| author | Muzaffer Ateş |
| author_facet | Muzaffer Ateş |
| author_sort | Muzaffer Ateş |
| collection | DOAJ |
| description | We studied the global stability and boundedness results of third-order nonlinear differential equations of the form .
Particular cases of this equation have been studied by many authors over years. However, this particular form is a generalization of the earlier ones. A Lyapunov function was used for the proofs of the two main theorems: one with
and the other with .
The results in this paper generalize those of other authors who have studied particular cases of the differential equations. Finally, a concrete example is given to check our results. |
| format | Article |
| id | doaj-art-e3fc9efdcad64ef3a19998a17d93ea86 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e3fc9efdcad64ef3a19998a17d93ea862025-02-03T06:01:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/103260103260On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential EquationsMuzaffer Ateş0Department of Electrical and Electronics Engineering, Yüzüncü Yıl University, 65080 Van, TurkeyWe studied the global stability and boundedness results of third-order nonlinear differential equations of the form . Particular cases of this equation have been studied by many authors over years. However, this particular form is a generalization of the earlier ones. A Lyapunov function was used for the proofs of the two main theorems: one with and the other with . The results in this paper generalize those of other authors who have studied particular cases of the differential equations. Finally, a concrete example is given to check our results.http://dx.doi.org/10.1155/2013/103260 |
| spellingShingle | Muzaffer Ateş On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations Journal of Applied Mathematics |
| title | On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations |
| title_full | On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations |
| title_fullStr | On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations |
| title_full_unstemmed | On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations |
| title_short | On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations |
| title_sort | on the global stability properties and boundedness results of solutions of third order nonlinear differential equations |
| url | http://dx.doi.org/10.1155/2013/103260 |
| work_keys_str_mv | AT muzafferates ontheglobalstabilitypropertiesandboundednessresultsofsolutionsofthirdordernonlineardifferentialequations |