| 一阶线性模糊微分方程的模糊结构元解法 |
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| 引用本文： | 王磊,郭嗣琮.一阶线性模糊微分方程的模糊结构元解法[J].合肥工业大学学报(自然科学版),2011(10):1576-1579. |
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| 作者姓名： | 王磊 郭嗣琮 |
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| 作者单位： | 辽宁工程技术大学基础教学部;辽宁工程技术大学理学院; |
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| 基金项目： | 高等学校博士点学科点专项科研基金资助项目(20102121110002) |
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| 摘 要： | 文章利用模糊结构元原理,研究了一阶线性模糊微分方程的模糊初值问题,证明了方程解的存在性和唯一性条件,给出了解的模糊结构元的解析表达形式,讨论了同其他求解方法之间的关系.结果表明,模糊结构元方法是研究模糊微分方程的一个有效工具.
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| 关 键 词： | 模糊结构元 扩展原理 微分闭包 推广Hukuhara导数 |
Solution algorithm of first order linear fuzzy differential equations using fuzzy structuring element |
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| WANG Lei,GUO Si-zong.Solution algorithm of first order linear fuzzy differential equations using fuzzy structuring element[J].Journal of Hefei University of Technology(Natural Science),2011(10):1576-1579. |
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| Authors: | WANG Lei GUO Si-zong |
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| Institution: | WANG Lei1,2,GUO Si-zong2(1.Department of Basic Teaching,Liaoning Technical University,Huludao 125105,China,2.College of Science,Fuxin 123000,China) |
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| Abstract: | In this paper,the fuzzy initial conditions of first order linear fuzzy differential equations are studied by utilizing the theory of fuzzy structuring element.The existence and uniqueness of the solution for fuzzy differential equations are proved,the analytical expression of the solution is given based on the fuzzy structuring element and the relationship between the proposed solution and other interpretations is discussed.It is concluded that the method of fuzzy structuring element is an effective tool fo... |
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| Keywords: | fuzzy structuring element extention principle differential inclusion generalized Hukuhara differentiability |
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