Gro R. Hovhannisyan
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.
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| Gro R. Hovhannisyan |
Kent State University, Stark Campus
6000 Frank Ave. NW
Canton, OH 44720-7599, USA
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