摘要
研究了n阶线性模糊微分方程的模糊初值问题,将n阶线性模糊微分方程转化成一阶线性模糊微分方程组,利用结构元方法将模糊线性微分方程组转化成两个分明的线性微分方程组,通过分明的线性微分方程组的解构造出原n阶线性模糊微分方程的解.最后,给出了具体的算例.
In this paper,we studies the fuzzy initial value problem for nth-order fuzzy differential equation,we translate nth-order fuzzy differential equation into first order fuzzy differential equations,and translate fuzzy differential equations into two crisp linear differential equations by fuzzy structuring element method,the solution of original nth-order linear fuzzy differential equations is expressed by first order fuzzy differential equations.At last,we put forward two examples.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第10期168-173,共6页
Mathematics in Practice and Theory
基金
教育部博士点基金(20102121110002)
关键词
模糊值函数
模糊微分方程
结构元法
fuzzy-valued function
fuzzy differential equations
fuzzy structuring element
