Advances in Difference Equations
Volume 2006 (2006), Article ID 59572, 17 pages

Second-order n-point eigenvalue problems on time scales

Douglas R. Anderson1 and Ruyun Ma2

1Department of Mathematics and Computer Science, Concordia College, Moorhead, MN 56562, USA
2Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Received 10 December 2004; Revised 3 November 2005; Accepted 6 November 2005

Copyright © 2006 Douglas R. Anderson and Ruyun Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.