East Asian mathematical journal
- Volume 24 Issue 1
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- Pages.111-123
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
A SYSTEM OF FIRST-ORDER IMPULSIVE FUZZY DIFFERENTIAL EQUATIONS
- Lan, Heng-You (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY OF SCIENCE & ENGINEERING)
- Published : 2008.01.31
Abstract
In this paper, we introduce a new system of first-order impulsive fuzzy differential equations. By using Banach fixed point theorem, we obtain some new existence and uniqueness theorems of solutions for this system of first-order impulsive fuzzy differential equations in the metric space of normal fuzzy convex sets with distance given by maximum of the Hausdorff distance between level sets.
Keywords
- First-order impulsive fuzzy differential equation system;
- Cauchy problem;
- fixed point;
- existence and uniqueness