A Note on the Stability and Boundedness of Non-Autonomous Differential Equations of Second Order With a Variable Deviating Argument

Abstract

In this paper, we establish some results for the stability and the boundedness of solutions of non-autonomous differential equations of second order with a variable deviating argument. We make a comparison between a stability result verified via fixed points and the Lyapunov-Krasovskil functional approach, and we discuss the uniform stability and the boundedness of solutions. An example is given to illustrate the feasibility of the proposed results.