Asymptotic stability for second-order differential equations with complex coefficients

Date

2004-06-13

Authors

Hovhannisyan, Gro R.

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Asymptotic stability, Asymptotic representation, WKB solution, Second order differential equations

Citation

Hovhannisyan, 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.

Rights

Attribution 4.0 International

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