%0 Journal Article
%T Existence of Solutions of BVPs for Nonlinear Difference Equations: Non-resonance Case
%A Yuji Liu
%J Sel£¿uk Journal of Applied Mathematics
%D 2011
%I Sel?uk University
%X Sufficient conditions for the existence of solutions of the following boundary value problem for nonlinear difference equation{©®x(t+2k)-¡Æ_{i=0}^{2k-1}a_{i}x(t+i)=f(t,x(t),x(t+1), ,x(t+2k-1)),t¡Ê[0,T-1],x(i)=A_{i},i¡Ê[0,k-1],x(T+2k-1-i)=B_{i},i¡Ê[0,k-1]at non-resonance case are established. Examples are given to show the efficiency of the result in this paper.
%K Solution
%K nonlinear difference equation
%K boundary value problem
%K fixed-point theorem
%K growth condition.
%U http://www.sumam.selcuk.edu.tr/12-2-8.html