East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXISTENCE AND UNIQUENESS THEOREM FOR LINEAR FUZZY DIFFERENTIAL EQUATIONS

  • You, Cuilian (College of Mathematics and Computer Science Hebei University) ;
  • Wang, Gensen (Hebei Jitie Group Company)
  • Received : 2010.01.28
  • Accepted : 2011.05.04
  • Published : 2011.05.31
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Abstract

The introduction of fuzzy differential equation is to deal wit fuzzy dynamic systems. As classical differential equations, it is difficult to find the solutions to all fuzzy differential equations. In this paper an existence and uniqueness theorem for linear fuzzy differential equations is obtained. Moreover, the exact solution to linear fuzzy differential equation is given.

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