On first order fuzzy Ricatti difference equation

Zhang, Qianhong; Yang, Lihui; Liao, Daixi

doi:10.1016/j.ins.2014.02.086

Cited by 31 publications

(21 citation statements)

References 19 publications

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“…Besides, Zhang et al [10] researched the following nonlinear fuzzy difference equation. 1 1 , 0, 1, 2, , [11] continuously proved similar conclusion for the follow first-order fuzzy difference equation 1 , 0, 1, 2, , More recently, Wang et al [12] investigate the existence and uniqueness of the positive solutions and the asymptotic behavior of the equilibrium points of the following fuzzy difference equation.…”

Section: Introductionmentioning

confidence: 66%

Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation

Jing¹,

Li²,

Wang³

2019

IOTCC

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Our aim in this paper is to investigate the dynamics of a third-order fuzzy difference equation. By using new iteration method for the more general nonlinear difference equations and inequality skills as well as a comparison theorem for the fuzzy difference equation, some sufficient conditions which guarantee the existence, unstability and global asymptotic stability of the equilibriums for the nonlinear fuzzy system are obtained. Moreover, some numerical solutions of the equation describing the system are given to verify our theoretical results.

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Section: Introductionmentioning

confidence: 66%

Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation

Jing¹,

Li²,

Wang³

2019

IOTCC

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“…Suppose that (15) holds true for ≤ , ∈ {1, 2, ⋅ ⋅ ⋅ }. Then, from (12), (14), and (15) for ≤ , it follows that…”

Section: Resultsmentioning

confidence: 99%

“…Now we show that [ , , , ], ∈ (0, 1], determines the solution of (1) with initial value 0 , where ( , , , ) is the solution of system (12) with initial conditions ( 0, , 0, ), satisfying…”

Section: Resultsmentioning

confidence: 99%

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On Dynamical Behavior of Discrete Time Fuzzy Logistic Equation

Zhang

Lin

2018

Discrete Dynamics in Nature and Society

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The aim of this paper is to investigate the dynamical behavior of the following model which describes the logistic difference equation taking into account the subjectivity in the state variables and in the parameters. xn+1=Axn(1~-xn), n=0,1,2,⋯, where {xn} is a sequence of positive fuzzy numbers. A,1~ and the initial value x0 are positive fuzzy numbers. The existence and uniqueness of the positive solution and global asymptotic behavior of all positive solution of the fuzzy logistic difference equation are obtained. Moreover, some numerical examples are presented to show the effectiveness of results obtained.

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“…In 2014, Zhang et al [21] studied the existence, the boundedness, and the asymptotic behavior of the positive solutions to a first order fuzzy Ricatti difference equation…”

Section: Introductionmentioning

confidence: 99%