Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 06, pp. 1-8.
Title: Triple positive solutions for a class of two-point
boundary-value problems
Authors: Zhanbing Bai (Beijing Institute of Technology, China)
Yifu Wang (Beijing Institute of Technology, China)
Weigao Ge (Beijing Institute of Technology, China)
Abstract:
We obtain sufficient conditions for the existence of
at least three positive solutions for the equation
$ x''(t) + q(t)f(t, x(t), x'(t)) = 0 $
subject to some boundary conditions.
This is an application of a new fixed-point theorem
introduced by Avery and Peterson [6].
Submitted November 25, 2003. Published January 2, 2004.
Math Subject Classifications: 34B15.
Key Words: Triple positive solutions; boundary-value problem;
fixed-point theorem.