Advances in Differential Equations and Control Processes
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Abstract: In
this paper, we consider the nonlinear non-autonomous second order differential
equation
and
we use the Lyapunov’s second method to give sufficient criteria for thezerosolutiontobegloballyasymptoticallystableaswellastheuniform boundedness of all
solution with its’ derivative.
Keywords and phrases: boundedness, Lyapunov function, nonlinear non-autonomous second order differential equations, stability.
