Difference equation for a population model by Mami Suzuki

Subjects: “…Difference equation…”
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On the Periodicity of a Difference Equation with Maximum by Ali Gelisken, Cengiz Cinar, Ibrahim Yalcinkaya

“…We investigate the periodic nature of solutions of the max difference equation xn+1=max⁡{xn,A}/(xnxn−1), n=0,1,…, where A is a positive real parameter, and the initial conditions x−1=Ar−1 and x0=Ar0 such that r−1 and r0 are positive rational numbers. …”
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Solutions Of The Rational Difference Equations by D. Şimşek, B. Oğul

Subjects: “…difference equation…”
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On Two Systems of Difference Equations by Bratislav Iričanin, Stevo Stević

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Solutions of the neutral differential-difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t) by Ll. G. Chambers

Subjects: “…neutral differential-difference equation.…”
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Global Stability of a Rational Difference Equation by Guo-Mei Tang, Lin-Xia Hu, Gang Ma

“…We consider the higher-order nonlinear difference equation 𝑥𝑛+1=(𝑝+𝑞𝑥𝑛−𝑘)/(1+𝑥𝑛+𝑟𝑥𝑛−𝑘),𝑛=0,1,… with the parameters, and the initial conditions 𝑥−𝑘,…,𝑥0 are nonnegative real numbers. …”
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On the Dynamics of a Higher-Order Difference Equation by H. El-Metwally

“…This paper deals with the investigation of the following more general rational difference equation: 𝑦𝑛+1=𝛼𝑦𝑛∑/(𝛽+𝛾𝑘𝑖=0𝑦𝑝𝑛−(2𝑖+1)∏𝑘𝑖=0𝑦𝑛−(2𝑖+1)), 𝑛=0,1,2,…, where 𝛼,𝛽,𝛾,𝑝∈(0,∞) with the initial conditions 𝑥0,𝑥−1,…,𝑥−2𝑘,𝑥−2𝑘−1∈(0,∞). …”
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On a Higher-Order Nonlinear Difference Equation by Bratislav D. Iričanin

“…This paper shows that all positive solutions of a higher-order nonlinear difference equation are bounded, extending some recent results in the literature.…”
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On the Asymptotic Behavior of a Difference Equation with Maximum by Fangkuan Sun

“…We study the asymptotic behavior of positive solutions to the difference equation xn=max{A/xn-1α,B/xn−2β}, n=0,1,…, where 0<α, β<1, A,B>0. …”
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On a Periodic System of Difference Equations by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdeněk Šmarda

“…Here we give a very short and elegant proof of an extension of two recent results on global periodicity of two systems of difference equations in a work of Elsayed et al. 2012.…”
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Solutions of the system ofmaximum difference equations by D. Şimşek, M. Eröz

Subjects: “…difference equation…”
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Solutions Of The System Of Maximum Difference Equations by D. Şimşek, B. Oğul

Subjects: “…difference equation…”
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Nonlinear Functional Difference Equations with Applications by Hua Su, Yuriy V. Rogovchenko, Youssef Raffoul, Yanbin Sang, Fuyi Xu

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Oscillation of certain partial difference equations by Sung Kyu Choi, Bing Gen Zhang

Subjects: “…Linear and nonlinear partial difference equations…”
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On the Characterization of a Class of Difference Equations by Muhammed Altun

“…We give the general solution of this difference equation. To examine the asymptotic behavior of solutions, we compute the spectra of operators which correspond to such type of difference equations. …”
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Periodicities of a System of Difference Equations by Weizhen Quan, Miaoqiao Pan, Xiaopei Li

“…We study the periodicities of a system of difference equations xn+1=max1/xn,An/yn-k,yn+1=max1/yn,Bn/xn-k, where initial values (x-k,y-k),…,(x0,y0)∈(0,+∞)×(0,+∞). …”
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On Some Symmetric Systems of Difference Equations by Josef Diblík, Bratislav Iričanin, Stevo Stević, Zdeněk Šmarda

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Global Behavior of a Higher-Order Difference Equation by Tuo Li, Xiu-Mei Jia

“…This paper is concerned with the global behavior of higher-order difference equation of the form 𝑦𝑛+1=(𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖)))/(1−𝑦𝑛+𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖))), 𝑛=0,1,2…, 𝑦−𝑘,𝑦−𝑘+1,…,𝑦0∈(0,1). …”
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Asymptotic Periodicity of a Higher-Order Difference Equation by Stevo Stevic

“…We give a complete picture regarding the asymptotic periodicity of positive solutions of the following difference equation: xn=f(xn−p1,…,xn−pk,xn−q1,…,xn−qm), n∈ℕ0, where pi, i∈{1,…,k}, and qj, j∈{1,…,m}, are natural numbers such that p1<p2<⋯<pk, q1<q2<⋯<qm and gcd(p1,…,pk,q1,…,qm)=1, the function f∈C[(0,∞)k+m, (α,∞)], α>0, is increasing in the first k arguments and decreasing in other m arguments, there is a decreasing function g∈C[(α,∞),(α,∞)] such that g(g(x))=x, x∈(α,∞), x=f(x,…,x︸k,g(x),…,g(x)︸m), x∈(α,∞), limx→α+g(x)=+∞, and limx→+∞g(x)=α. …”
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The Stability Cone for a Matrix Delay Difference Equation by M. M. Kipnis, V. V. Malygina

“…We construct a stability cone, which allows us to analyze the stability of the matrix delay difference equation 𝑥𝑛=𝐴𝑥𝑛−1+𝐵𝑥𝑛−𝑘. We assume that 𝐴 and 𝐵 are 𝑚×𝑚 simultaneously triangularizable matrices. …”
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