| 微分方程模糊初值问题的解 |
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| 引用本文： | 王磊.微分方程模糊初值问题的解[J].数学的实践与认识,2010,40(5). |
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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,理学院,辽宁,阜新,123000 |
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| 摘 要： | 研究了一阶线性微分方程模糊初值问题,利用模糊微分方程的刻画方程和初值之间的关系,给出了一阶线性微分方程模糊初值问题的一种求解方法,讨论了同基于Hukuhara微分求解方法之间的关系,证明了在一定条件下两种方法是等价的,文中的实例说明了这一点.
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| 关 键 词： | 三角模糊数 Hukuhara微分 刻画方程 模糊初值 |
Solution of Fuzzy Differential Equation |
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| WANG Lei.Solution of Fuzzy Differential Equation[J].Mathematics in Practice and Theory,2010,40(5). |
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| Authors: | WANG Lei |
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| Institution: | WANG Lei (College of Science Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | This paper studies the first order linear fuzzy differential equation with fuzzy initial value,introduces a kind of method for solving fuzzy initial value problems by the relationship between the depict equation of fuzzy differential equation and initial value,studies the relationship between the presents method and the method by Hukuhara differentiability, we conclusion that the two methods are equivalent,which is illustrated by some examples. |
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| Keywords: | triangular fuzzy number hukuhara differentiability depict equation fuzzy initial value problems |
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