Geodesic
Behavior at infinity of psi-evanescent solutions to linear differential equations
Electronic journal of differential equations, Tome 2010 (2010)
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 
@article{EJDE_2010__2010__a16,
     author = {Boi,  Pham Ngoc},
     title = {Behavior at infinity of psi-evanescent solutions to linear differential equations},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1200.34054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a16/}
}
TY  - JOUR
AU  - Boi,  Pham Ngoc
TI  - Behavior at infinity of psi-evanescent solutions to linear differential equations
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a16/
LA  - en
ID  - EJDE_2010__2010__a16
ER  - 
%0 Journal Article
%A Boi,  Pham Ngoc
%T Behavior at infinity of psi-evanescent solutions to linear differential equations
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a16/
%G en
%F EJDE_2010__2010__a16
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__a16/