一类一阶模糊差分方程解的性态分析  

Properties of solution to first-order fuzzy difference equation

作　　者：欧阳苗 张千宏[3] 陈滋利 OUYANG Miao;ZHANG Qianhong;CHEN Zili(Department of Mathematics,Southwest Jiaotong University,Chengdu 611730,China;School of Mathematics and Statistics,Xiamen University of Technology,Xiamen 361000,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]西南交通大学数学学院,四川成都611730 [2]厦门理工学院数学与统计学院,福建厦门361000 [3]贵州财经大学数统学院,贵州贵阳550025

出　　处：《安徽大学学报（自然科学版）》2023年第3期6-15,共10页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761018);厦门理工学院青年教师科研助长基金资助项目(XPDKQ20021);贵州省科技厅科技基金资助项目(黔科合基础[2020]1Y008)。

摘　　要：研究一类形如x_(n+1)=Ax_(n)+Dx_(n)^(2)/Bx_(n)^(2)+Cx_(n)的具有4个模糊参数及模糊数初始条件的一阶模糊差分方程,讨论其解的性质及长时间下的发展状态.利用模糊数广义除法(g-除法),分析正解的持久性、有界性和全局渐近稳定性等性态.最后通过抛物模糊数算例验证了所得结果的有效性.In this paper,we analyzed the properties of first-order fuzzy differential equations with fuzzy parameters and fuzzy initial conditions.We also provided a flexible model to fit fuzzy uncertainty data.By using a generalization of division(g-division)of fuzzy numbers,it can represent the properties of the positive solutions including boundedness and global asymptotic stability.Finally,two examples were given to demonstrate the effectiveness of the results obtained.

关 键 词：模糊差分方程 g-除法 有界性 渐近稳定 

分 类 号：O175.7[理学—数学]