Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-4 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Qiuli He; Chunyan Tao; Taixiang Sun; Xinhe Liu; Dongwei Su;

doi: 10.1155/2014/760247

Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation

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Abstract

We investigate the periodic nature of the positive solutions of the fuzzy max-difference equationxn+1=maxAn/xn-m,xn-k,n=0,1,…, wherek,m∈{1,2,…},Anis a periodic sequence of fuzzy numbers, andx-d,x-d+1,…,x0are positive fuzzy numbers withd=m,k. We show that every positive solution of this equation is eventually periodic with periodk+1.

Related Organizations

Guangxi University
China (People's Republic of)

Keywords

Fuzzy ordinary differential equations, QA1-939, Periodic solutions of difference equations, Mathematics

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