Liu, Yuji2018-05-082018-05-082011Liu, Y. (2011). Existence of solutions of BVPs for nonlinear difference equations: non-resonance case. Selcuk Journal of Applied Mathematics, 12 (2), 81-100.1302-7980https://hdl.handle.net/20.500.12395/10577URL: http://sjam.selcuk.edu.tr/sjam/article/view/307Sufficient conditions for the existence of solutions of the following boundary value problem for nonlinear difference equation{<K1.1/>?<K1.1 ilk="MATRIX" ><K2.1/><K2.2/><K2.3/></K1.1><K2.1 ilk="MATRIX" >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],</K2.1><K2.2 ilk="MATRIX" >x(i)=A_{i},i?[0,k-1],</K2.2><K2.3 ilk="MATRIX" >x(T+2k-1-i)=B_{i},i?[0,k-1]</K2.3>at non-resonance case are established. Examples are given to show the efficiency of the result in this paper.eninfo:eu-repo/semantics/openAccessSolutionÇözümNonlinear difference equationDoğrusal olmayan fark denklemiBoundary value problemSınır değer problemiFixed-point theoremSabit nokta teoremiGrowth conditionBüyüme koşuluArticle1281100