Basic theorems for fuzzy differential equations in the quotient space of fuzzy numbers

被引:0
作者
Dong Qiu
Chongxia Lu
Wei Zhang
Qinghua Zhang
Chunlai Mu
机构
[1] Chongqing University,School of Computer Science
[2] Chongqing University of Posts and Telecommunications,College of Mathematics and Physics
[3] Chongqing University,School of Mathematics and Statistics
来源
Advances in Difference Equations | / 2014卷
关键词
fuzzy number; equivalence classes; fuzzy differential equation; comparison theorems;
D O I
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学科分类号
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.
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