The existence for a solution on the closed subset to the Cauchy problems of fuzzy differential equations

机译：模糊微分方程的柯西问题的封闭子集解的存在性

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In this paper, by means of properties of a differential and integral calculus for fuzzy set valued mappings and completeness of metric space of fuzzy numbers, we obtained some existence theorems under the compactness-type conditions on a closed subset of fuzzy number space (Eⁿ, D) to fuzzy differential equations.

机译：本文利用模糊集值映射的微分积分和微积分的性质以及模糊数度量空间的完备性，获得了在紧数类型条件下模糊数空间的封闭子集上的一些存在性定理（E < sup> n ，D）到模糊微分方程。

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来源
《2012 Annual Meeting of the North American Fuzzy Information Processing Society》|2012年|p.1- 6|共6页
会议地点 Berkeley CA(US)
作者
Shao Ya-Bin; Gong Zeng-Tai;
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School of Mathematics and Computer Science Institute, Northwest University for Nationalities, Lanzhou 730030, China;

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原文格式 PDF
正文语种 eng
中图分类 TP273.4;
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入库时间 2022-08-26 14:25:42

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专利

1. Existence and Uniqueness for a Solution on the Closed Subset to the Cauchy Problem of Fuzzy Differential Equation [J] . WU Congxin, SONG Shiji, QI Zongyu Journal of Harbin Institute of Technology . 1997,第2期

机译：模糊微分方程柯西问题的封闭子集解的存在唯一性
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. 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
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 Annual Meeting of the North American Fuzzy Information Processing Society . 2012

机译：闭合子集对模糊微分方程的Cauchy问题的解决方案存在
5. Existence and singularity of solutions for Cauchy problems of some partial differential equations. [D] . Song, Kyungwoo. 2002

机译：一类偏微分方程柯西问题解的存在性和奇异性。
6. Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations [O] . Junfei Cao, Zaitang Huang, Caibin Zeng 2013

机译：一类随机微分方程解的存在唯一性
7. Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of Fuzzy Differential Equations [O] . Wu Congxin, Song Shiji, Lee E.Stanley 1996

机译：模糊微分方程柯西问题的近似解，存在性和唯一性

The existence for a solution on the closed subset to the Cauchy problems of fuzzy differential equations

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