Geodesic
Behavior at infinity of psi-evanescent solutions to linear differential equations
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: In this article we present some necessary and sufficient conditions for the existence of $\psi$-evanescent solution of the nonhomogeneous linear differential equation $x'=A(t)x+f(t)$, which is related to the notion of $\psi$-ordinary dichotomy for the equation $x'=A(t)x$. We associate that with the condition of $\psi$-ordinary dichotomy for the homogeneous linear differential equation x'=$A(t)$x.
Classification : 34A12, 34C11, 34D05
Keywords: psi-bounded solutions, psi-ordinary dichotomy, psi-evanescent solutions 
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     author = {Boi, Pham Ngoc},
     title = {Behavior at infinity of psi-evanescent solutions to linear differential equations},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a216/}
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Boi, Pham Ngoc. Behavior at infinity of psi-evanescent solutions to linear differential equations. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a216/