Discrete Dynamics in Nature and Society 
Volume 2008 (2008), Article ID 257680, 19 pages
doi:10.1155/2008/257680
Research Article

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

Wei Han1 and Guang Zhang2

 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

Recommended by Binggen Zhang

Abstract

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.