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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| Main Author: | |
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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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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |