On the Boundedness of Solutions of a Kind of Non-Autonomous Differential Equations of Second Order With Finitely Many Deviating Arguments

Abstract

We study the boundedness of the solutions to a non-autonomous differential equation of second order with finitely many deviating arguments. We give two examples to illustrate the main results. By this work, we improve some boundedness results obtained for a differential equation with a deviating argument in the literature to the boundedness of the solutions of a differential equation with finitely many deviating arguments.