Title of article
Dynamics of the fuzzy difference equation zn = max {1/zn-m αn/zn-r}
Author/Authors
Sun ، Taixiang - Guangxi Univresity of Finance and Economics , Xi ، Hongjian - Guangxi Univresity of Finance and Economics , Su ، Guangwang - Guangxi Univresity of Finance and Economics , Qin ، Bin - Guangxi Univresity of Finance and Economics
Pages
9
From page
477
To page
485
Abstract
In this paper, we study the eventual periodicity of the following fuzzy max-type difference equation zn = max {1/zn-m αn/zn-r},n = 0, 1, . . . , where {αn}n≥0 is a periodic sequence of positive fuzzy numbers and the initial values z−d,z−d+1,…,z−1 are positive fuzzy numbers with d = max { m , r } . We show that if max ( supp α n ) 1 , then every positive solution of this equation is eventually periodic with period 2 m .
Keywords
Fuzzy max , type difference equation , positive solution , eventual periodicity
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2018
Journal title
Journal of Nonlinear Science and Applications
Record number
2476961
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