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Existence of solutions for implicit fuzzy differential inclusions
  • ISSN号：0253-4827
  • 期刊名称：Applied Mathematics and Mechanics (English Edition
  • 时间：2015.3
  • 页码：401-416
  • 分类：O159[理学—数学;理学—基础数学] O175.15[理学—数学;理学—基础数学]
  • 作者机构：[1]State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu 610059, China, [2]School of Science, Southwest Petroleum University, Chengdu 610500, China, [3]Department of Mathematics, Sichuan University, Chengdu 610064, China
  • 相关基金：Project supported by the National Science Fund for Distinguished Young Scholars of China （No. 51125019）, the National Natural Science Foundation of China （No. 11171237）, and the Scientific Research Fund of Sichuan Provincial Education Department （No. 11ZA024）
  • 相关项目：可微变分与拟变分不等式若干新问题研究
作者： Min, Chao|Huang, Nanjing|Liu, Zhibin|Zhang, Liehui|
关键词： 模糊微分方程, 微分包含, 解的存在性, 定理证明, 泛函微分方程, 外商直接投资, 模糊动态系统, 石油工程, implicit fuzzy differential inclusion （IFDI）, fuzzy differential equation （FDE）, selection theorem, stacking theorem
中文摘要：

A class of implicit fuzzy differential inclusions(IFDIs) are introduced and studied.Some existence theorems under different conditions are proved with the selection theorems for the open situation and the closed situation,respectively.A viable solution for a closed IFDI is proved to exist under the tangential condition.As an application,an implicit fuzzy differential equation,which comes from the drilling dynamics in petroleum engineering,is analyzed numerically.The obtained results can improve and extend some known results for fuzzy differential inclusions(FDIs) and fuzzy differential equations(FDEs),which might be helpful in the analysis of fuzzy dynamic systems.

英文摘要：

A class of implicit fuzzy differential inclusions （IFDIs） are introduced and studied. Some existence theorems under different conditions are proved with the selection theorems for the open situation and the closed situation, respectively. A viable solution for a closed IFDI is proved to exist under the tangential condition. As an application, an implicit fuzzy differential equation, which comes from the drilling dynamics in petroleum engineering, is analyzed numerically. The obtained results can improve and extend some known results for fuzzy differential inclusions （FDIs） and fuzzy differential equations （FDEs）, which might be helpful in the analysis of fuzzy dynamic systems.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
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  • 被引量:541