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, MN 56562, USA
2Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
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.