Advances in Difference Equations
Volume 2008 (2008), Article ID 840458, 15 pages
Research Article

Positive Solutions for Multiparameter Semipositone Discrete Boundary Value Problems via Variational Method

Jianshe Yu,1,2 Benshi Zhu,1 and Zhiming Guo2

1College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
2College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Received 13 March 2008; Accepted 24 August 2008

Academic Editor: Kanishka Perera

Copyright © 2008 Jianshe Yu et al. 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, multiplicity, and nonexistence of positive solutions for multiparameter semipositone discrete boundary value problems by using nonsmooth critical point theory and subsuper solutions method.