Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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STABILITY OF A PERIODIC SOLUTION FOR FUZZY DIFFERENTIAL EQUATIONS

  • Published : 2003.09.01

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Abstract

In this paper, we consider the fuzzy differential equations (equation omitted) where F(t, x(t)) is a continuous fuzzy mapping on [0, $\infty$) ${\times}$ E$\^$n/. The purpose of this paper is to prove that the solution ${\Phi}$(t) of the fuzzy differential equations is equiasymptotically stable in the large and uniformly asymptotically stable in the large.

Keywords

References

  1. Arch. Rational Mech. Anal. v.15 Periodic and almost periodic solutions of functional-differential equations J.K.Hale
  2. Ann. Math. v.65 A study of synchronous asymptotic stability J.P.LaSalle
  3. Fuzzy Sets and Systems v.24 Fuzzy differential equations O.Kaleva
  4. J. Math. Anal. Appl. v.114 Fuzzy randon variables M.L.Puri;D.A.Ralescu
  5. Fuzzy Sets and Systems v.24 On the fuzzy initial value problem S.Seikkala
  6. Arch. Rational Mech. Anal. v.17 Extreme stability and almost periodic solutions of functional differential equations T.Yoshizawa