高阶模糊差分方程动力学行为分析  

Dynamical behavior of high-order fuzzy difference equation

作　　者：张千宏[1] 林府标 钟筱莺 ZHANG Qianhong;LIN Fubiao;ZHONG Xiaoying(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;Library,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数学统计学院,贵州贵阳550025 [2]贵州财经大学图书馆,贵州贵阳550025

出　　处：《安徽大学学报（自然科学版）》2019年第4期17-23,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761018)

摘　　要：研究一类高阶模糊非线性差分方程正解的存在性、正平衡解的存在性及解的渐近行为,系统中参数及初始值都是正模糊数,最后给出数值例子验证所得结论的正确性。This paper studied the existence of positive solution and positive equilibrium,asymptotic behavior of the positive solutions of a high-order fuzzy nonlinear difference equation,where the parameters and initial values of equation were positive fuzzy numbers. Finally,an illustrative example was given to verify results obtained.

关 键 词：模糊差分方程 平衡点 有界性 持久性 渐近稳定性 

分 类 号：O175.7[理学—数学]