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Öğe Existence of solutions of BVPs for nonlinear difference equations: non-resonance case(Selcuk University Research Center of Applied Mathematics, 2011) Liu, YujiSufficient conditions for the existence of solutions of the following boundary value problem for nonlinear difference equation{?x(t+2k)-?_{i=0}^{2k-1}a_{i}x(t+i)=f(t,x(t),x(t+1),?,x(t+2k-1)),t?[0,T-1],x(i)=A_{i},i?[0,k-1],x(T+2k-1-i)=B_{i},i?[0,k-1]at non-resonance case are established. Examples are given to show the efficiency of the result in this paper.