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  • 标题:Basic theorems for fuzzy differential equations in the quotient space of fuzzy numbers
  • 本地全文:下载
  • 作者:Dong Qiu ; Chongxia Lu ; Wei Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:303
  • DOI:10.1186/1687-1847-2014-303
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the fuzzy differential equations in the quotient space of fuzzy numbers. We solve the initial value problem for fuzzy differential equations provided that the involved mappings are continuous, of uniformly bounded variation, and are bounded functions. Then we establish a variety of comparison results for the solutions of fuzzy differential equations. MSC:34A07, 46S40.
  • 关键词:fuzzy number ; equivalence classes ; fuzzy differential equation ; comparison theorems
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