二阶非线性差分方程无界非振荡解的一个新的存在性结果

摘要

In this paper, we obtain a new result for the existence of unbounded nonoscillatory solutions of the second - order nonlinear difference equation , by using fixed point theorey,△2xn +f(n,xn-τ1, xn-τ2,…xn-τk) = 0,n ∈ N,where τi ( i = 1, 2,…k.) is an integer and f ∈ C{N×[k:(R×R×…×R)],R}.%运用固定点理论,获得二阶非线性差分方程无界非振荡解的一个新的存在性结果.