Advances in Difference Equations 
Volume 2008 (2008), Article ID 840458, 15 pages
doi:10.1155/2008/840458
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

Recommended by Kanishka Perera

Abstract

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.