On the new solutions to the fuzzy difference equation x_(n+1) = A + B/x_n

Khastan A.; Alijani Z.

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On the new solutions to the fuzzy difference equation x_(n+1) = A + B/x_n

机译：关于模糊差分方程x_（n + 1）= A + B / x_n的新解

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摘要

In this paper, using a generalization of division for fuzzy numbers, we study the existence and global behavior of the fuzzy difference equation x(n+1) = A + B/x(n), n = 0,1, ..., where A and B are positive fuzzy numbers. Some examples are presented to x n illustrate the applicability of our results. (C) 2018 Elsevier B.V. All rights reserved.

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《Fuzzy sets and systems》 |2019年第1期|64-83|共20页
作者
Khastan A.; Alijani Z.;
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作者单位

Inst Adv Studies Basic Sci, Dept Math, 45137 66731, Iran;

Univ Tartu, J Liivi 2, EE-50409 Tartu, Estonia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy difference equations; Boundedness; Persistence; Oscillatory behavior; g-Division;

机译：模糊差分方程有界性持久性振动行为g划分;

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1. Slowly Varying Solutions of the Difference Equation x_(n+1)=f(x_n,…,x_(n-k))+g(n,x_n,x_(n-1),…,x_(n-k)) [J] . G. L. Karakostas, S. Stevic Journal of difference equations and applications . 2004,第3期

机译：差异等式X_（n + 1）= f（x_n，...，x_（n-k））+ g（n，x_n，x_（n-1），...，x_（n-k））的慢慢变化的解决方案
2. ON A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS x_(n+1) = x_(n-1)/y_n x_(n-1)-1, y_(n+1)=y_(n-1)/x_n y_(n-1)-1,z_(n+1)=1/y_n z_(n+1) [J] . K. Liu, P. Li, W. Zhong Fasciculi mathematici . 2013,第51期

机译：在有理差分方程组上x_（n + 1）= x_（n-1）/ y_n x_（n-1）-1，y_（n + 1）= y_（n-1）/ x_n y_（n- 1）-1，z_（n + 1）= 1 / y_n z_（n + 1）
3. On the Solutions of the System of Difference Equations x_(n+1) = max{A/x_n, y_n/x_n}, y_(n + 1 ) = max{A/y_n, x_n/y_n [J] . Dagistan Simsek, Bilal Demir, Cengiz Cinar Discrete dynamics in nature and society . 2009,第Pta1期

机译：关于差分方程组的解x_（n + 1）= max {A / x_n，y_n / x_n}，y_（n + 1）= max {A / y_n，x_n / y_n
4. On The Periodic Solutions of the Difference Equations x_(n+1) = a + b(x_n/x_(n-1)) and x_(n+1) = a + b(x_(n-1)/x_n) + c(x_n/x_(n-1)) [C] . Seifedine Kadry International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：在差分方程的周期解x_（n + 1）= a + b（x_n / x_（n-1））和x_（n + 1）= a + b（x_（n-1）/ x_n）+ C（X_N / X_（N-1））
5. Twin solutions of even order boundary value problems for ordinary differential equations and finite difference equations. [D] . Sun, Xun. 2009

机译：常微分方程和有限差分方程偶数边值问题的孪生解。
6. The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory [O] . T. Allahviranloo, L. Gerami Moazam -1

机译：基于优化理论的完全模糊二次方程的求解
7. The Dynamics of Solutions to the Equation $x_{n+1}=rac{p+x_{n-k}}{q+x_n}+rac{x_{n-k}}{x_n}$ [O] . Xiaona Xu, Yongjin Li 2010

机译：对等式的解决方案的动态 $ x__ {n + 1} = frac {p + x_ {n-k}} {q + x_n} + frac {x_ {n-k}} {x_n} $

On the new solutions to the fuzzy difference equation x_(n+1) = A + B/x_n

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