摘要
主要讨论含非线性中立型项的二阶非线性差分方程非振动解的存在性。我们利用Banach压缩映射原理和离散的Krasnoselskii不动点定理,通过构造适当的映射给出了差分方程存在最终正解的存在性定理。
We mainly discuss the existence of the non-oscillatory solution for the second order nonlinear difference equation with nonlinear neutral terms. Based on the Banach contraction mapping principle and the discrete Krasnoselskii's fixed point theorem, we obtain the existence of eventually positive solution of the difference equation by making fitful mapping.
出处
《井冈山大学学报(自然科学版)》
2012年第4期11-14,共4页
Journal of Jinggangshan University (Natural Science)
基金
吉市科计字[2009]40号3