A k-Dimensional System of Fractional Finite Difference Equations by Dumitru Baleanu, Shahram Rezapour, Saeid Salehi

“…We investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. …”
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Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane by M. DiPippo, M. R. S. Kulenović

“…We investigate the global dynamics of several anticompetitive systems of rational difference equations which are special cases of general linear fractional system of the forms ., where all parameters and the initial conditions are arbitrary nonnegative numbers, such that both denominators are positive. …”
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Global Asymptotic Stability of a Family of Nonlinear Difference Equations by Maoxin Liao

“…In this note, we consider global asymptotic stability of the following nonlinear difference equation xn=(∏i=1v(xn-kiβi+1)+∏i=1v(xn-kiβi-1))/(∏i=1v(xn-kiβi+1)-∏i=1v(xn-kiβi-1)),  n=0,1,…, where ki∈ℕ  (i=1,2,…,v),  v≥2, β1∈[-1,1], β2,β3,…,βv∈(-∞,+∞), x-m,x-m+1,…,x-1∈(0,∞), and m=max1≤i≤v{ki}. …”
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Oscillation of solutions of impulsive neutral difference equations with continuous variable by Gengping Wei, Jianhua Shen

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Difference Equations and Sharing Values Concerning Entire Functions and Their Difference by Zhiqiang Mao, Huifang Liu

“…The value distribution of solutions of certain difference equations is investigated. As its applications, we investigate the difference analogue of the Brück conjecture. …”
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Solutions to some generalized Fermat-type differential-difference equations by Zhiyong Xu, Junfeng Xu

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Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations by E. Thandapani, S. Lourdu Marian, John R. Graef

“…The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, where m≥1, n∈ℕ={0,1,2,…}, ani>0 for i=1,2,…,m−1, anm≡1, D0yn=yn, Diyn=aniΔDi−1yn, i=1,2,…,m, σ(n)→∞ as n→∞, and f:ℝ→ℝ is continuous with uf(u)>0 for u≠0. …”
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Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions by Sotiris K. Ntouyas, Jessada Tariboon

“…We study boundary value problems for q-difference equations and inclusions with nonlocal and integral boundary conditions which have different quantum numbers. …”
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Solving Fractional Difference Equations Using the Laplace Transform Method by Li Xiao-yan, Jiang Wei

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On a Third-Order System of Difference Equations with Variable Coefficients by Stevo Stević, Josef Diblík, Bratislav Iricanin, Zdenek Šmarda

“…We show that the system of three difference equations xn+1=an(1)xn-2/(bn(1)ynzn-1xn-2+cn(1)), yn+1=an(2)yn-2/(bn(2)znxn-1yn-2+cn(2)), and zn+1=an(3)zn-2/(bn(3)xnyn-1zn-2+cn(3)), n∈N0, where all elements of the sequences an(i), bn(i), cn(i), n∈N0, i∈{1,2,3}, and initial values x-j, y-j, z-j, j∈{0,1,2}, are real numbers, can be solved. …”
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Some roughness results concerning reducibility for linear difference equations by Garyfalos Papaschinopoulos

“…In this paper we prove first that the exponential dichotomy of linear difference equations is rough. Moreover we prove that if the coefficient matrix of a linear difference equation is almost periodic, then the Joint property of having an exponential dichotomy with a projection P and being reducible with P by an almost periodic kinematics similarity is rough.…”
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Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients by Petr Hasil, Michal Veselý

“…We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. …”
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Analysis of Random Difference Equations Using the Differential Transformation Method by Şeyma Şişman, Mehmet Merdan

“…The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the given examples and investigate the behaviour of the approximate analytical solutions. …”
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Global Attractivity of a Family of Max-Type Difference Equations by Xiaofan Yang, Wanping Liu, Jiming Liu

“…We propose to study a generalized family of max-type difference equations and then prove the global attractivity of a particular case of it under some parameter conditions. …”
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Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations by Jan Čermák, Tomáš Kisela, Luděk Nechvátal

“…We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the solution. …”
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Recent Trends in Computational and Theoretical Aspects in Differential and Difference Equations by Ram Jiwari, Mehmet Emir Koksal, Haydar Akca

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Symmetries, Associated First Integrals, and Double Reduction of Difference Equations by L. Ndlovu, M. Folly-Gbetoula, A. H. Kara, A. Love

“…We determine the symmetry generators of some ordinary difference equations and proceeded to find the first integral and reduce the order of the difference equations. …”
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On the Solutions of a System of Third-Order Rational Difference Equations by A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam

“…The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. …”
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Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation by Wen-Xiu Ma

“…We present qualitative global behavior of solutions to a rational nonlinear higher-order difference equation zn+1=(czn+zn-k+c-1znzn-k)/(znzn-k+c),  n≥0, with positive initial values z-k,z-k+1,⋯,z0, and show the global asymptotic stability of its positive equilibrium solution.…”
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On a Class of Discrete Max-Type Difference Equation Model of Order Four by A. M. Alotaibi, Abdul Khaliq, Muhammad Ali, Stephen Sadiq

“…The global dynamical behavior of a class of discrete models known as the max-type difference equation model is the subject of the research. …”
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