三阶非线性模糊差分方程动力学行为分析  

Dynamical Behavior of a Third-Order Nonlinear Fuzzy Difference Equation

作　　者：张千宏 王贵英 ZHANG Qian-hong;WANG Gui-ying(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数学与统计学院

出　　处：《西南师范大学学报（自然科学版）》2019年第7期1-7,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761018);贵州财经大学重点项目(2018XZD02)

摘　　要：研究一类三阶非线性模糊差分方程正解的存在性及渐近行为xn+1=xn-2/A+xn-2xn-1xn,n=0,1,…其中(xn)是正模糊数数列,A及初始值x-2,x-1,x0是正模糊数.最后给出数值例子以验证理论结论的正确性.This paper is concerned with the existence,asymptotic behavior of the positive solutions of a third order fuzzy nonlinear difference equation x n+1 = x n-2/A+x n-2 x n-1 x n,n=0,1,… where (xn) is a sequence of positive fuzzy numbers,A and the initial values x -2,x -1,x 0 are positive fuzzy numbers.Finally an illustrative example is given to demonstrate the effectiveness of the results obtained.

关 键 词：模糊差分方程 平衡点 有解性 持久性 渐近稳定 

分 类 号：O175.7[理学—数学]