On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations

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On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations by Ogundare.pdf(870.49 KB)
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2006
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Abstract
In this paper, we show the asymptotic stability of the trivial solution x = 0 for p = 0 and the boundedness as well as the ultimate boundedness result for p ≠ 0 with the use of a single complete Lyapunov function. The results obtained here improve on the results already obtained for this class of third order nonlinear differential equations.
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Differential equation, Third order differential equation, Non-linear differential equations
Citation
Ogundare, B. S. (2006). On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations. Kragujevac J. Math., 29: 37 - 48
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http://localhost:8080/xmlui/handle/123456789/3500
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