| 一阶多参数模糊微分方程及定解问题 |
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| 引用本文： | 王磊,郭嗣琮.一阶多参数模糊微分方程及定解问题[J].数学的实践与认识,2011,41(23). |
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| 作者姓名： | 王磊 郭嗣琮 |
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| 作者单位： | 1. 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
2. 辽宁工程技术大学理学院,辽宁阜新,123000 |
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| 基金项目： | 教育部博士点基金(20102121110002) |
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| 摘 要： | 在单参数模糊微分方程基础上研究了一阶多参数模糊微分方程和模糊初值问题,利用刻画方程的解与刻画参数的关系给出了多参数模糊微分方程解存在的条件,最后给出了具体算例.表明,多参数模糊微分方程具有广泛的工程应用背景.
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| 关 键 词： | 扩展原理 模糊参数 模糊初值 刻画方程 |
First order Multi-parameter Fuzzy Differential Equation and Expression of Solution |
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| WANG Lei,GUO Si-zong.First order Multi-parameter Fuzzy Differential Equation and Expression of Solution[J].Mathematics in Practice and Theory,2011,41(23). |
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| Authors: | WANG Lei GUO Si-zong |
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| Institution: | WANG Lei~(1,2),GUO Si-zong~2 (1.Department of Basic Teaching,Liaoning Technical University,Huludao 125105,China) (2.College of Science,Fuxin 123000,China) |
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| Abstract: | This paper studies the multi-parameters fuzzy differential equation and fuzzy initial value problem on the basis of single parameter fuzzy differential equation,gives condition for a fuzzy solution existence by using the relationship between solution of depict equation and depict parameters.At last,the authors put forward two examples,it shows multi-parameter fuzzy differential equation has a broad engineering background. |
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| Keywords: | extention principle fuzzy parameter fuzzy initial value depict equation |
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