Existence of Solutions of Fuzzy Delay Differential Equations on a Closed Subset of (E~n, D)

Jin Xuan Fang; Chuan Zhi Bai

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Existence of Solutions of Fuzzy Delay Differential Equations on a Closed Subset of (E~n, D)

机译：（E〜n，D）的封闭子集上模糊时滞微分方程解的存在性

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摘要

In this paper, we study the existence of solutions of the fuzzy delay differential equations on a closed subset of the fuzzy number space (E~n,D) by using the Kuratowski measure of noncompactness and successive approximation method.

机译：本文利用非紧致性的Kuratowski测度和逐次逼近方法研究了模糊数空间（E〜n，D）的一个封闭子集上的模糊时滞微分方程解的存在性。

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《The Journal of fuzzy mathematics》 |2004年第1期|共18页
作者
Jin Xuan Fang; Chuan Zhi Bai;
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正文语种 eng
中图分类数学;
关键词
fuzzy delay differential equation; fuzzy number space E~n; Kuratiwski measure of noncompactness; compactness condition; approximate solutions;

机译：模糊延迟微分方程;模糊数空间E〜n;非紧致性的Kuratiwski测度;紧致条件;近似解;

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专利

1. Existence of Solutions of Fuzzy Delay Differential Equations on a Closed Subset of (E~n, D) [J] . Jin Xuan Fang, Chuan Zhi Bai The Journal of fuzzy mathematics . 2004,第1期

机译：（E〜n，D）的封闭子集上模糊时滞微分方程解的存在性
2. Existence and Uniqueness for a Solution on the Closed Subset to the Cauchy Problem of Fuzzy Differential Equation [J] . 吴从怠, 宋士吉, 齐宗豫哈尔滨工业大学学报：英文版 . 1997,第002期

机译：封闭子集对模糊微分方程Cauchy问题的存在和唯一性
3. On existence of solutions to differential equations or inclusions remaining in a prescribed closed subset of a finite-dimensional space [J] . Gabor G., Quincampoix M. Journal of Differential Equations . 2002,第2期

机译：关于存在于有限维空间的规定封闭子集中的微分方程或包含的解的存在性
4. The existence for a solution on the closed subset to the Cauchy problems of fuzzy differential equations [C] . Shao Ya-Bin, Gong Zeng-Tai 2012 Annual Meeting of the North American Fuzzy Information Processing Society . 2012

机译：模糊微分方程的柯西问题的封闭子集解的存在性
5. Symmetric systems of implicit functional differential equations: Existence of solutions and bifurcation results. [D] . Li, Zhichao. 2013

机译：隐式泛函微分方程的对称系统：解和分支结果的存在。
6. Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay [O] . Haide Gou, Baolin Li -1

机译：具有时滞的Sobolev型分数非自治发展方程的温和解的存在性。
7. On Existence of Solutions to Differential Equations or Inclusions Remaining in a Prescribed Closed Subset of a Finite-Dimensional Space [O] . Gabor Grzegorz, Quincampoix Marc 2002

机译：关于有限维空间的规定封闭子集中所存在的微分方程或包含解的解的存在性

Existence of Solutions of Fuzzy Delay Differential Equations on a Closed Subset of (E~n, D)

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