Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations

Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations

In this paper, we investigate the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. The results are proved using Lyapunov’s second (or direct method). Our results include and improve some well known re...

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Veröffentlicht in:Nonlinear dynamics 2006-08, Vol.45 (3-4), p.273-281
Hauptverfasser: Tunc, Cemil, Ate, Muzaffer
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Nonlinear equations
Stability
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Zusammenfassung:In this paper, we investigate the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. The results are proved using Lyapunov’s second (or direct method). Our results include and improve some well known results existing in the literature.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-006-1437-3