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

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.

Bibliographic Details
Main Author: Michael I. Gil
Format: Article
Language:English
Published: Texas State University 2005-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/25/abstr.html