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Stability of a periodic solution for fuzzy differential equations

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Abstract

In this paper, we consider the fuzzy differential equations

$$\frac{{dx(t)}}{{dt}} = F(t,x(t)) and x(t_0 ) = x_0 \in E^n $$

whereF(t,x(t)) is a continuous fuzzy mapping on [0, ∞)×E n. The purpose of this paper is to prove that the solution ϕ(t) of the fuzzy differential equations is equiasymptotically stable in the large and uniformly asymptotically stable in the large.

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Authors and Affiliations

  1. Department of Mathematics, Dong Eui University, 614-714, Pusati, Korea

    Jae Ug Jeong

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  1. Jae Ug Jeong
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Correspondence to Jae Ug Jeong.

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Jae Ug Jeong studied Mathematics at Pusan National University. After having lectureship at the Pusan University, he became instructor at Dongeui University in 1982 and promoted to assistant Professor in 1984. He received his Ph.D from Gyeongsang National University in 1991 and became Professor in 1991. He taught analysis, differential equations, nonlinear analysis and measure theory. His main research interests include nonlinear analysis, fixed point theory, fuzzy theory and variational inequality.

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Jeong, J.U. Stability of a periodic solution for fuzzy differential equations. JAMC 13, 217–222 (2003). https://doi.org/10.1007/BF02936087

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  • DOI: https://doi.org/10.1007/BF02936087

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