On the solutions of the max-type difference equation (x_{k+1})=max{ \frac{1}{x_{k-1}^{n}},x_{k-1}^n}}, n \geq 1

Prasertsang, Patarawadee; Sompong, Supunnee

doi:10.12988/ams.2013.13139

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2020

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“…{ }. ey showed that if p � 1 (or p ≥ 2 and k is odd), then every well-defined solution of this equation is eventually periodic with period k. So far, there are more studies on this kind of difference equations (for example, see [26][27][28][29][30] and the relevant reference cited therein).…”

Section: Introductionmentioning

confidence: 99%

Periodic Solution for a Max-Type Fuzzy Difference Equation

Wang

2020

Journal of Mathematics

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The paper is concerned with the dynamics behavior of positive solutions for the following max-type fuzzy difference equation system: xn+1=maxA/xn, A/xn−1, xn−2, n=0,1,2,…, where xn is a sequence of positive fuzzy numbers, and the parameter A and the initial conditions x−2, x−1, x0 are also positive fuzzy numbers. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters. Then, the expression for the periodic solution of the max-type ordinary difference equations is obtained by the iteration, the inequality technique, and the mathematical induction. Moreover, we can obtain the expression for the periodic solution of the max-type fuzzy difference equation. In addition, the boundedness and persistence of solutions for the fuzzy difference equation is proved. Finally, the results of this paper are simulated and verified by using MATLAB 2016 software package.

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Section: Introductionmentioning

confidence: 99%

Periodic Solution for a Max-Type Fuzzy Difference Equation

Wang

2020

Journal of Mathematics

View full text Add to dashboard Cite

show abstract

On the solutions of the max-type difference equation (x_{k+1})=max{ \frac{1}{x_{k-1}^{n}},x_{k-1}^n}}, n \geq 1

Cited by 1 publication

References 0 publications

Periodic Solution for a Max-Type Fuzzy Difference Equation

Periodic Solution for a Max-Type Fuzzy Difference Equation

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