一类非线性差分方程的全局渐进稳定性  

Global Asymptotic Stability for a Family of Nonlinear Difference Equations

作　　者：赵玉萍[1] 

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《广西民族大学学报（自然科学版）》2015年第2期55-58,共4页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：国家自然科学基金资助项目(11361047);青海民族大学校级科研项目

摘　　要：非线性差分方程在工程技术中有广泛应用.笔者利用特殊不等式,研究了一类非线性差分方程解的稳定性,得到了这类方程有全局渐进稳定平衡点的充分条件,给出了方程唯一的正的全局渐进稳定的平衡点.改进了N.kruse和T.Nesemann已有的研究结果.通过一个例子说明了主要结论,使差分方程的研究领域更广、更完善.Nonlinear difference equations are widely used in engineering technology. By means of special inequality technique, this paper is concerned with stability of solution for a family of nonlinear difference equations, sufficient conditions that the equations have globally asymptotically stable equilibrium were given, an only positive globally asymptotically stable equilibrium was given , which improves some known results that N. kruse and T. Nesemannt had studied. An example is given to illustrate the main results. The research field of difference is wider, more perfect.

关 键 词：稳定性 差分方程 非线性 

分 类 号：O175.7[理学—数学]