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一阶线性模糊微分方程的解 被引量:9

Solutions for First Order Linear Fuzzy Differential Equation
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摘要 利用文[8]中的扩展原理求解了一阶线性模糊微分方程,给出了解可表示的条件,讨论了同其他求解方法之间的关系,最后给出了具体算例。 This paper studied the first order linear fuzzy differential equation with fuzzy initial value by extention principle [8], gave the representable condition of solution and discussed relationship between the present method and the others,we illustrated the result by showing one example.
作者 王磊 郭嗣琮
出处 《模糊系统与数学》 CSCD 北大核心 2011年第3期113-118,共6页 Fuzzy Systems and Mathematics
关键词 扩展原理 模糊初值 刻画方程 微分闭包 推广Hukuhara导数 Extention Principle Fuzzy Initial Value Depict Equation Differential Inclusions Generalized Hukuhara Differentiability
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参考文献15

  • 1Chang S L, Zadeh L A. On fuzzy mapping and control[J]. IEEE Trans. Systems Man Cybernet, 1977. ,2:30- 34.
  • 2Dubois D, Prade H. Towards fuzzy differential calculus:Part 3,Differentiation[J]. Fuzzy Sets and Systems,1982,8: 225-233.
  • 3Nieto J J, Rodriguez-lopez R. Bounded solutions for fuzzy differential and integral equations[J]. Chaos, Solitons and Fractals, 2006,27: 1376- 1386.
  • 4Seikkala S. On the fuzzy initial value problem[J]. Fuzzy Sets and Systems,1987,24:319-330.
  • 5郭嗣琮,王磊.模糊限定微分方程及定解问题[J].工程数学学报,2005,22(5):869-874. 被引量:10
  • 6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(自然科学版),2008,26(6):817-819. 被引量:10
  • 7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):192-196. 被引量:7
  • 8郭嗣琮.扩张原理的一种新的表现形式[J].模糊系统与数学,2003,17(2):43-47. 被引量:14
  • 9Puri M, Ralescu D. Differentials of Fuzzy Functions[J]. Journal of Mathematical Analysis and Applications, 1983, 91 : 552- 558.
  • 10Kaleva O. A note on fuzzy differential equations[J]. Nonlinear Analysis,2006,64:895-900.

二级参考文献27

  • 1郭嗣琮.基于结构元方法的模糊值函数分析学表述理论[J].自然科学进展,2005,15(5):547-552. 被引量:11
  • 2翟建仁,何清,魏听仪.一般扩展原理[J].模糊系统与数学,1995,9(1):16-21. 被引量:6
  • 3郭嗣琮,王磊.模糊限定微分方程及定解问题[J].工程数学学报,2005,22(5):869-874. 被引量:10
  • 4罗承忠 王德谋.区间值函数积分的推广与Fuzzy值函数的积分[J].模糊数学,1983,(3):45-52.
  • 5刘华雯.极大、极小扩展原理的表现形式[J].兰州大学学报(模糊数学与系统专辑),1996,32:393-396.
  • 6O. Kaleva, Fuzzy Differential Equations[J]. Fuzzy Sets and Systems, 1987,24:301-317.
  • 7P. Diamond, Tune- dependent Differential Inclusions, Cocycle Attractors and Fuzzy Differential Equations [ J ]. IEEE Transactions on Fuzzy System, 1999,7:734-740.
  • 8E. Hullermeier, An Approach to Modeling and Simulation of Uncertain Dynamical Systems[J]. International Journal of Uncertainty, Fuzziness Knowledge - Bases System, 1997, 5 : 117 - 137.
  • 9O. Kaleva, A Note On Fuzzy DifferenfialEquafions[J]. Nonlinear Analysis ,2006,64:895-900.
  • 10Diamond P. Time-dependent differential inclusions, Cocycle attractors and fuzzy differential equations[J]. [EEE Transactions on Fuzzy System, 1999, 7: 734-740.

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引证文献9

二级引证文献13

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