%0 Journal Article
%T Asymptotic stability for second-order differential equations with complex coefficients
%A Gro R. Hovhannisyan
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We 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.
%K Asymptotic stability
%K asymptotic representation
%K WKB solution
%K second order differential equation.
%U http://ejde.math.txstate.edu/Volumes/2004/85/abstr.html