| 基于模糊结构元的一阶模糊微分方程 |
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| 引用本文： | 王磊. 基于模糊结构元的一阶模糊微分方程[J]. 佳木斯大学学报, 2008, 26(6) |
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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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| 基金项目： | 辽宁工程技术大学校基金 |
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| 摘 要： | 研究了一阶单参数模糊微分方程和一阶微分方程模糊初值问题,利用刻画方程的解与刻画参数的关系给出了模糊微分方程解的存在条件,并利用模糊分析学的模糊结构元表述理论,给出了一阶模糊微分方程解的模糊结构元表达形式.
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| 关 键 词： | 模糊微分方程 模糊初值问题 刻画方程 模糊结构元 |
First Order Fuzzy Differential Equation Based on Fuzzy Structuring Element |
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| WANG Lei. First Order Fuzzy Differential Equation Based on Fuzzy Structuring Element[J]. Journal of Jiamusi University(Natural Science Edition), 2008, 26(6) |
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| Authors: | WANG Lei |
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| Affiliation: | College of Science;Liaoning Technical University;Fuxin 123000;China |
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| Abstract: | This paper studies first order single parameter fuzzy differential equation and fuzzy initial value problems for first order differential equation,presents the existence of solutions of first order fuzzy differential equation by relation of solutions of depict equation and depict parameter,and presents the expression of solutions of fuzzy differential equation by fuzzy structuring element. |
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| Keywords: | fuzzy differential equation fuzzy Initial value problems depict equation fuzzy structuring element |
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