Copyright © 2009 Qingrong Zou and Peixuan Weng. 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.
The variational method and critical point theory are employed to investigate the existence of solutions for 2th-order difference equation for with boundary value condition by constructing a functional, which transforms the existence
of solutions of the boundary value problem (BVP) to the existence of critical points for
the functional. Some criteria for the existence of at least one solution and two solutions
are established which is the generalization for BVP of the even-order difference equations.