Büyükkahraman, Mehtap Falcı2022-12-212022-12-212021https://doi.org/10.31801/cfsuasmas.776651http://hdl.handle.net/20.500.12575/86259In 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.enNonlinear differential equation, second order, boundedness, the Lyapunov second methodArticle7026126221303-5991