Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 618413, 13 pages
Research Article

Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales

Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

Received 3 June 2009; Accepted 16 September 2009

Academic Editor: Yong Zhou

Copyright © 2009 Yanbin Sang. 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 study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.