Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 106, pp. 1-8.

Title: Positive solutions for multipoint boundary-value problem with parameters
  
Authors: Juanjuan Xu (Shandong Univ., Jinan, China)
         Zhongli Wei (Shandong Univ., Jinan, China)
 
Abstract: 
 In this paper, we study a  generalized Sturm-Liouville
 boundary-value problems with two positive parameters. By
 constructing a completely continuous operator and combining fixed
 point index theorem and some properties of the eigenvalues of linear
 operators, we obtain sufficient conditions for the existence of at
 least one positive solution.
 
Submitted May 2, 2008. Published August 07, 2008.
Math Subject Classifications: 34B15, 39A10.
Key Words: Multipoint; positive solution; eigenvalue; parameters.