Geodesic
Positive solutions to a semilinear higher-order ODE on the half-line
Electronic journal of differential equations, Tome 2005 (2005)
We study a semilinear non-autonomous ordinary differential equation (ODE) of order $n$. Explicit conditions for the existence of $n$ linearly independent and positive solutions on the positive half-line are obtained. Also we establish lower solution estimates.
Classification : 34C10, 34C11
Keywords: ordinary differential equations, nonlinear equations, positive solutions on the half-line 
@article{EJDE_2005__2005__a38,
     author = {Gil',  Michael I.},
     title = {Positive solutions to a semilinear higher-order {ODE} on the half-line},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a38/}
}
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Gil',  Michael I. Positive solutions to a semilinear higher-order ODE on the half-line. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a38/