Korkmaz, E., Tunc, C. (2015). Convergence to non-autonomous differential equations of second order. test, 23(1), 27-30. doi: 10.1016/j.joems.2014.02.009
Erdal Korkmaz; Cemil Tunc. "Convergence to non-autonomous differential equations of second order". test, 23, 1, 2015, 27-30. doi: 10.1016/j.joems.2014.02.009
Korkmaz, E., Tunc, C. (2015). 'Convergence to non-autonomous differential equations of second order', test, 23(1), pp. 27-30. doi: 10.1016/j.joems.2014.02.009
Korkmaz, E., Tunc, C. Convergence to non-autonomous differential equations of second order. test, 2015; 23(1): 27-30. doi: 10.1016/j.joems.2014.02.009

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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