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

Year 2021, Volume: 70 Issue: 2, 612 - 621, 31.12.2021

Mehtap Lafcı Büyükkahraman

https://doi.org/10.31801/cfsuasmas.776651

Abstract

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

Keywords

Nonlinear differential equation, second order, boundedness, the Lyapunov second method

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