具有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  

THE EXISTENCE OF THE NON-OSCILLATORY SOLUTION FOR THE SECOND ORDER NONLINEAR DIFFERENCE EQUATION WITH NONLINEAR NEUTRAL TERMS

作　　者：王志伟[1] 邓志云[1] 

机构地区：[1]井冈山大学数理学院,江西吉安343009

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

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.

关 键 词：非线性差分方程 非线性中立型项 振动性:非振动性 

分 类 号：O212.8[理学—概率论与数理统计]