Boundedness results for a certain third order nonlinear differential equation

Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement...

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Veröffentlicht in:	Applied mathematics and computation 2010-07, Vol.216 (10), p.3044-3049
Hauptverfasser:	Ademola, Timothy A., Ogundiran, Michael O., Arawomo, Peter O., Adesina, Olufemi Adeyinka
Format:	Artikel
Sprache:	eng
Schlagworte:	Bounded solutions Complement Computation Differential equations Exact sciences and technology Global analysis, analysis on manifolds Lyapunov functions Mathematical analysis Mathematical models Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Third order differential equations Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Ultimate bounded solution
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Beschreibung
Zusammenfassung:	Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement some well known results on the third order differential equations in the literature.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.04.022