Boundedness results for a certain third order nonlinear differential equation

Abstract

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.

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Bounded solutions, Ultimate bounded solution, Lyapunov functions, Third order differential equations

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