Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 85, pp. 1-20.

Title: Asymptotic stability for second-order differential equations
       with complex coefficients

Author: Gro R. Hovhannisyan (Kent State Univ., Canton, OH, USA)
 
Abstract: 
 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.

Submitted April 19, 2004. Published June 13, 2004.
Math Subject Classifications: 34D20, 34E05.
Key Words: Asymptotic stability; asymptotic representation;
  WKB solution; second order differential equation.