Electron. J. Diff. Eqns., Vol. 2004(2004), No. 06, pp. 1-8.

Triple positive solutions for a class of two-point boundary-value problems

Zhanbing Bai, Yifu Wang, & Weigao Ge

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.

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Zhanbing Bai
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
Department of Applied Mathematics
University of Petroleum, Dongying 257061, China
email: baizhanbing@263.net
  Yifu Wang
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
email: yifu-wang@163.com
  Weigao Ge
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
email: gew@bit.edu.cn

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