基于广义除法下非线性模糊差分方程的动力学行为研究  

Dynamic Behavior of High Order Nonlinear Fuzzy Difference Equation

作　　者：王贵英 张千宏[2] WANG Guiying;ZHANG Qianhong(School of Mathematics and Physics,Hechi University,Hechi Guangxi 546300,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]河池学院,数理学院,广西河池546300 [2]贵州财经大学数学统计学院,贵阳550025

出　　处：《西南大学学报（自然科学版）》2022年第8期116-126,共11页Journal of Southwest University(Natural Science Edition)

基　　金：广西高校中青年教师科研基础能力提升项目(2022KY0603);广西自然科学基金项目(2020GXNSFAA159084);贵州省科技厅科学技术基金项目([2020]1Y008).

摘　　要：对模糊数使用广义除法,讨论高阶非线性模糊差分方程x_( n+1)=A+B/x ^(n-m),n=0,1,2,…,的全局渐近行为,其中(x_(n))是正模糊数列,A,B是正模糊数,最后数值仿真,验证结论有效性.In this paper,using the generalized division of fuzzy numbers,we study the asymptotic behavior of the positive solutions of the high order nonlinear fuzzy difference equation x_( n+1)=A+B/x ^(n-m),n=0,1,2,…,Where(x_(n))is a sequence of positive fuzzy numbers,A,B are positive fuzzy numbers.Finally,a numerical simulation is given to verify the validity of the conclusion.

关 键 词：模糊差分方程 有界性 持久性 

分 类 号：O175.7[理学—数学]