Geodesic
Asymptotic stability for second-order differential equations with complex coefficients
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Hovhannisyan, Gro R.},
     title = {Asymptotic stability for second-order differential equations with complex coefficients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a180/}
}
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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__a180/