College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China
Copyright © 2009 Yanping Guo 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 consider the multi-point discrete boundary value problem with one-dimensional -Laplacian operator
, subject to the boundary conditions: , , where with and . Using a new fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.