Geodesic
Asymptotic stability for second-order differential equations with complex coefficients
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 34D20, 34E05
Keywords: asymptotic stability, asymptotic representation, WKB solution, second order differential equation 
@article{EJDE_2004__2004__a80,
     author = {Hovhannisyan,  Gro R.},
     title = {Asymptotic stability for second-order differential equations with complex coefficients},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1050.34072},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a80/}
}
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%J Electronic journal of differential equations
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Hovhannisyan,  Gro R. Asymptotic stability for second-order differential equations with complex coefficients. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a80/