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

Positive solutions for multiparameter semipositone discrete boundary value problems via variational method

Jianshe Yu1 , Benshi Zhu1 and Zhiming Guo3

1College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
3College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

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.