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Boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order. (English) Zbl 1266.34051

Summary: A Lyapunov function is constructed and used to obtain criteria for boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of third order. Our results revise, improve and extend existing results on boundedness, uniform ultimate boundedness and the asymptotic behaviour of solutions to third-order nonlinear differential equations.

MSC:

34C11 Growth and boundedness of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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