In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation \[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\] where ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.
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Objective & Hypothesis:In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation \[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\] where ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.
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Key Findings & Data:In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation \[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\] where ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.
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Conclusion & Impact:In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation \[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\] where ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.
In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation \[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\] where ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.
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