Convergence to non-autonomous differential equations of second order

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Arts and Sciences, Mus Alparslan University, 49100 Mus, Turkey

Abstract

In this paper, we consider a non-autonomous differential equation of second order
x00 þ mðtÞfðx0
Þ þ nðtÞgðxÞ ¼ pðt; x; x0
Þ:
By the Lyapunov function approach, we discuss the convergence of solutions of the equation
considered. Our findings generalize some earlier results in the literature.

Keywords