The periodic nature of the positive solutions of a nonlinear fuzzy max-difference equation

Authors:
G. Stefanidou;G. Papaschinopoulos
Affiliations:
Democritus University of Thrace, Department of Electrical and Computer Engineering, 67100 Xanthi, Greece;Democritus University of Thrace, Department of Electrical and Computer Engineering, 67100 Xanthi, Greece
Venue:
Information Sciences: an International Journal
Year:
2006

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Abstract

We investigate the periodic nature of the positive solutions of the fuzzy difference equation x"n=maxA"0x"n"-"k,A"1x"n"-"m, where k, m are positive integers, A"0, A"1, are positive fuzzy numbers and the initial values x"i, i=-d,-d+1,...,-1, d=max{k,m}, are positive fuzzy numbers. In addition, we give conditions so that the solutions of this equation are unbounded.