New Results on Behavior of Solutions of Certain System of Third-Order Non-linear Differential Equations

Abstract

In this article, provisions are made for sufficient conditions that guaranteed uniform asymptotic stability of the trivial solution and uniform boundedness of all solutions to a class of third-order non-linear differential equations. The direct method of Lyapunov is used to establish our results. Numerical examples are given together with the graphical representation of their solutions by Maple software as a justification for our findings.