Convergence to non-autonomous differential equations of second order | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 27-30 PDF (407.85 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.02.009 | ||||
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Authors | ||||
Erdal Korkmaz; Cemil Tunc* | ||||
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 | ||||
Convergence of solutions; Nonautonmous; Second order; Differential equation; Routh–Hurwitz interval; Lyapunov functions | ||||
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