On the Qualitative Behaviors of Solutions of Some Differential Equations of Higher Order With Multiple Deviating Arguments

Abstract

We study the boundedness of the solutions to a non-autonomous and non-linear differential equation of second order with two constant deviating arguments. We give two examples to illustrate the main results. By this work, we extend some boundedness results obtained for a differential equation with a constant deviating argument in the literature to the boundedness of the solutions of a differential equation with two constant deviating arguments. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.