Advances in Difference Equations 
Volume 2006 (2006), Article ID 59572, 17 pages
doi:10.1155/ADE/2006/59572

Second-order n-point eigenvalue problems on time scales

Douglas R. Anderson1 and Ruyun Ma2

 1Department of Mathematics and Computer Science, Concordia College, Moorhead 56562, MN, USA
2Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Received 10 December 2004; Revised 3 November 2005; Accepted 6 November 2005

Abstract

We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results extend previous work on both the continuous case and more general time scales, and are based on the Guo-Krasnosel'skiĭ fixed point theorem.