On a nonlinear fuzzy difference equation

Authors : İbrahim YALÇINKAYA, Vildan ÇALIŞKAN, Durhasan Turgut TOLLU

Pages : 68-78

Doi:10.31801/cfsuasmas.861915

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Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values( z n ); insert ignore into journalissuearticles values(zn); is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j insert ignore into journalissuearticles values( j = 0 , 1 , 2 );   insert ignore into journalissuearticles values(j=0,1,2);  are positive fuzzy numbers and p p is a positive integer.
Keywords : Asymptotic behavior, alpha cuts, boundedness, fuzzy difference equations, fuzzy number, stability