Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 705387, 14 pages
doi:10.1155/2010/705387
Sign-changing solutions for discrete second-order three-point boundary value problems
Tieshan He1
, Wei Yang2
and Fengjian Yang1
1Department of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, Guangdong 510225, China
2Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, China
Abstract
We consider the second-order three-point discrete boundary value problem. By using the topological degree theory and the fixed point index theory, we provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions. As an application, an example is given to demonstrate our main results.