Hovhannisyan, Gro R.2021-04-262021-04-262004-06-13Hovhannisyan, G. R. (2004). Asymptotic stability for second-order differential equations with complex coefficients. <i>Electronic Journal of Differential Equations, 2004</i>(85), pp. 1-20.1072-6691https://hdl.handle.net/10877/13439We prove asymptotical stability and instability results for a general second-order differential equations with complex-valued functions as coefficients. To prove asymptotic stability of linear second-order differential equations, we use the technique of asymptotic representations of solutions and error estimates. For nonlinear second-order differential equations, we extend the asymptotic stability theorem of Pucci and Serrin to the case of complex-valued coefficients.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalAsymptotic stabilityAsymptotic representationWKB solutionSecond order differential equationsArticle