Advances in Difference Equations
Volume 2005 (2005), Issue 2, Pages 153-172

Behavior of the positive solutions of fuzzy max-difference equations

G. Stefanidou and G. Papaschinopoulos

Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi 67100, Greece

Received 15 September 2004

Copyright © 2005 G. Stefanidou and G. Papaschinopoulos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We extend some results obtained in 1998 and 1999 by studying the periodicity of the solutions of the fuzzy difference equations xn+1=max{A/xn,A/xn1,,A/xnk}, xn+1=max{A0/xn,A1/xn1}, where k is a positive integer, A, Ai, i=0,1, are positive fuzzy numbers, and the initial values xi, i=k,k+1,,0 (resp., i=1,0) of the first (resp., second) equation are positive fuzzy numbers.