| n阶线性模糊微分方程的结构元解法 |
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| 引用本文： | 王磊. n阶线性模糊微分方程的结构元解法[J]. 数学的实践与认识, 2012, 42(10): 168-173 |
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| 作者姓名： | 王磊 |
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| 作者单位： | 辽宁工程技术大学基础教学部,辽宁葫芦岛125105;辽宁工程技术大学理学院,辽宁阜新123000 |
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| 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.
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| 关 键 词： | 模糊值函数 模糊微分方程 结构元法 |
Fuzzy Structuring Element Method for nth-order Fuzzy Differential Equation |
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| WANG Lei. Fuzzy Structuring Element Method for nth-order Fuzzy Differential Equation[J]. Mathematics in Practice and Theory, 2012, 42(10): 168-173 |
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| Authors: | WANG Lei |
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| Affiliation: | WANG Lei(1,2) (1.Department of Basic Teaching,Liaoning Technical University,Huludao 125105,China) (2.College of Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | 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. |
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| Keywords: | fuzzy-valued function fuzzy differential equations fuzzy structuring element |
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