一类线性模糊边值问题的边值分离解法  

A Solution Method by Separate the Boundary Value for a Class of Linear Fuzzy Boundary Value Problems

作　　者：姚忠豪 肖建中[1] 刘娟[1] YAO Zhong-hao;XIAO Jian-zhong;LIU Juan(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《数学的实践与认识》2020年第23期226-232,共7页Mathematics in Practice and Theory

摘　　要：研究了三阶线性微分方程模糊边值问题,利用线性变换的性质分离模糊边值,将模糊微分方程非齐次问题转化成带模糊边值的齐次问题及带实数边值的非齐次问题分别求解,得出了三阶线性微分方程模糊边值问题的一种求解方法,并给出具体的算例说明方法的可行性.In this paper,the fuzzy boundary value problem for third-order fuzzy differential equations is studied.By using some properties for linear transformation and separating the fuzzy boundary value,the fuzzy differential equation is transformed into a homogeneous problem with fuzzy boundary value and a non-homogeneous problem with crisp boundary value.A solution method of fuzzy boundary value problem for third-order fuzzy differential equations is given.Also,the method’s applicability is illustrated by three examples.

关 键 词：模糊值函数 模糊边值 线性变换 

分 类 号：O175.8[理学—数学]