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关于一阶模糊微分方程解的研究 被引量：2

The Solutions of First-order Linear Fuzzy Differential Equations
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摘要 对于系数为常数一阶齐次与非齐模糊微分方程,提出了一种新解法.把模糊微分方程转化为一阶微分方程组,给出了此类方程的解.简化了一阶模糊微分方程的运算,最后给出了解法的应用. In this paper,the authors transfer the linear fuzzy differential equation to linear fuzzy differential equations and introduce a new method for general solution of first-order homogenous and non-homogeneous linear fuzzy differential equation with basic solution matrix. In the end, some examples are given.
作者 张东凯 郭增晓 冯文莉
机构地区 石家庄学院数学与信息科学系
出处 《石家庄学院学报》 2008年第6期39-42,共4页 Journal of Shijiazhuang University
基金 河北省教育厅自然科学项目(Z2006115)
关键词 模糊集 一阶齐次模糊微分方程 一阶非齐次模糊微分方程 fuzzy sets first-order homogenous linear fuzzy differential equation first-order non-homogeneous linear fuzzy differential equation
分类号 O159 [理学—基础数学]
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参考文献7

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同被引文献28

  • 1SONG Shiji, GUO Lei, FENG Chunbo. Global Existence of Solutions to Fuzzy Differential Equations[J]. Fuzzy Sets and Systems, 2000, 115(3) :371-376.
  • 2SONG Shiji, WU Cheng. Existence and Uniqueness of Cauchy Problem for Fuzzy Differential Equations under Dissipative Conditions[J]. Computers and Mathematics with Application, 2006,51 (9-10) : 1 483-1 492.
  • 3WU Cheng, SONG Shiji. Existence Theorem to the Cauchy Problem of Fuzzy Differential Equations under Compactness-type Conditions[J]. Information Sciences, 1998,108(1-4) : 123-134.
  • 4WU Cheng, SONG Shiji, STANLEY E. Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of Fuzzy Differential Equations[J]. Journal of Mathematical Analysis and Applications, 1996,202 (2) : 629-644.
  • 5LUPULESCU V. Initial Value Problem for Fuzzy Differential Equations under Dissipative Conditions [J]. Information Sciences, 2008,178 (23) :4523-4533.
  • 6GONG Zengtai, SHAO Yabin. Global Existence and Uniqueness of Solutions for Fuzzy Differential Equations under Dissipative-type Conditions[J]. Computers and Mathematics with Applications, 2008,56 ( 1 0) : 2 716-2 723.
  • 7PARK J, HAN H. Existence and Uniqueness Theorem for a Solution of Fuzzy Volterra Integral Equations [J]. Fuzzy Sets and Systems, 1999,105(3) :481-488.
  • 8ZHANG Dongkai, FENG Wenli, QIU Jiqing. Global Existence of Solutions to Fuzzy Voherra Integral Equations[J]. ICIC Express Letters, 2009,3(3) :707-712.
  • 9GEORGIOU D, KOUGIAS I. Bounded Solutions for Fuzzy Integral Equations [J]. International Journal of Man-Machine Studies, 2002,31 (2) : 109-114.
  • 10PARK J, JUNG I, LEE M. Almost Periodic Solutions of Fuzzy Systems[J]. Fuzzy Sets and Systems, 2001,119 (3) : 367-373.

引证文献2

石家庄学院学报
2008年 第6期

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