Convergence to non-autonomous differential equations of second order | ||
Journal of the Egyptian Mathematical Society | ||
Volume 23, Issue 1, 2015, Pages 27-30 PDF (407.85 K) | ||
Document Type: Original Article | ||
DOI: 10.1016/j.joems.2014.02.009 | ||
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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