利用分析法和Banach不动点原理,研究了一类奇数阶差分方程的非振动解的存在性,得到了这类方程存在有界正解的充分条件.
By using some necessary analysis techniques and the fixed point theorem in Banach space,the existence of nonoscillatory solutions of a family of odd-order difference equations were investigated,some sufficient conditions for the bounded positive solutions of the equation were obtained.