The existence of the bounded solutions of a second order nonhomogeneous nonlinear differential equation

Abstract

In this paper, we consider a second order nonlinear di¤erential equation and establish two new theorems about the existence of the bounded solutions of a second order nonlinear di¤erential equation. In these theorems, we use di¤erent Lyapunov functions with di¤erent conditions but we get the same result. In addition, two examples are given to support our results with some …gures.