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Discrete Dynamics in Nature and Society
Volume 2008, Article ID 257680, 19 pages
Research Article

Twin Positive Solutions of a Nonlinear 𝑚-Point Boundary Value Problem for Third-Order 𝑝-Laplacian Dynamic Equations on Time Scales

1Department of Mathematics, North University of China, Taiyuan 030051, China
2Department of Mathematics, School of Science, Tianjin University of Commerce, Tianjin 300134, China

Received 20 April 2008; Accepted 20 June 2008

Academic Editor: Binggen Zhang

Copyright © 2008 Wei Han and Guang Zhang. 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.


Several existence theorems of twin positive solutions are established for a nonlinear 𝑚-point boundary value problem of third-order 𝑝-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. As an application, an example to demonstrate our results is given. The obtained conditions are different from some known results.