非线性时滞差分方程所有解的充分条件分析  

Sufficient Condition Analysis of All Solutions of Nonlinear Delay Difference Equation

作　　者：邢书宝[1] 

机构地区：[1]西安科技大学管理学院,陕西西安710054

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2017年第6期788-790,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：陕西省教育厅专项(12JK0068)

摘　　要：提出一种基于不动点定理的非线性时滞差分方程所有解的充分条件分析方法.通过定义一个映射,分析了该映射满足差分方程解的特性的相关条件,运用不动点定理和迭代法获得方程解的充分条件,保证了非线性时滞差分方程具有不可数的有界非振动解.A sufficient condition analysis method for all solutions of Nonlinear Delay Difference Equations Based on fixed point theorem is proposed.The correlation conditions of the map to satisfy the solution of the difference equation are analyzed by defining a mapping,the sufficient conditions for obtaining the solution of the equation are obtained by using the fixed point theorem and the iterative method.It is guaranteed that the nonlinear time delay difference equation has an infinite non-oscillatory solution.

关 键 词：非线性 时滞差分方程 所有解 充分条件 

分 类 号：O175[理学—数学]