On the Stability and Boundedness of Solutions to Certain Second Order Differential Equation
On the Stability and Boundedness of Solutions to Certain Second Order Differential Equation
In this paper, we investigate by means of second method of Lyapunov, sufficient conditions that guarantee uniform-asymptotic stability of the trivial solution and ultimate boundedness of all solutions to a certain second order differential equation. We construct a complete Lyapunov function in order to discuss the qualitative properties mentioned earlier. …