Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 25, pp. 1-7.

Title: Positive solutions to a semilinear higher-order 
       ODE on the half-line

Author: Michael I. Gil' (Ben Gurion Univ. of the Negev,Israel) 
 
Abstract: 
 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.
 
Submitted September 28, 2004. Published March 6, 2005.
Math Subject Classifications: 34C10, 34C11.
Key Words: Ordinary differential equations; nonlinear equations; 
           positive solutions on the half-line.