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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:2
The existence of the bounded solutions of a second order nonhomogeneous nonlinear differential equat...

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

Authors : Mehtap LAFCI BÜYÜKKAHRAMAN

Pages : 612-621

Doi:10.31801/cfsuasmas.776651

View : 42 | Download : 12

Publication Date : 2021-12-31

Article Type : Research Paper

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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