A note on the stability and boundedness of solutions to non-linear differential systems of second order

Abstract EN

In this work, we are concerned with the investigation of the qualitative behaviors of certain systems of non-linear differential equations of second order.

We make a comparison between applications of the integral test and Lyapunov’s function approach on some recent stability andboundedness results in the literature.

An example is furnished to illustrate the hypotheses and main results in this paper.