摘要
为了研究一阶线性模糊微分方程组的模糊初值问题,提出了模糊微分方程组的刻画方程组和关联解的概念,讨论了精确初值对刻画方程组解的影响,利用精确初值与关联解之间的关系,定义了模糊微分方程组初值问题解,同时给出了模糊微分方程组的模糊初值问题解存在的判定条件和具体求解方法,以一阶常系数模糊线性齐次微分方程组为例说明了该方法的可行性,丰富了模糊分析学研究的内容。
In order to study the first order linear fuzzy differential equations with fuzzy initial value,this paper presents the concept of depict equations and associated solutions,discusses the impact of the crisp initial value for the solution of depict equations. Based on the relationship between associated solution of depict equations and the crisp initial value,the paper defines the concept of solution of fuzzy differential equations,provides the conditions for obtaining a solution and a method for obtaining a solution. Using the first order constant coefficient homogeneous linear fuzzy differential equations,the paper demonstrates the feasibility of the method proposed. The method proposed greatly enriches the fuzzy analysis study.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2010年第5期749-751,共3页
Journal of Liaoning Technical University (Natural Science)
关键词
刻画方程组
微分方程组
模糊初值问题
depict equations
differential equations
fuzzy initial value
