Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk-Difference Equations by Lihong Zhang, Bashir Ahmad, Guotao Wang

“…We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive qk-difference equations by applying some well-known fixed point theorems. …”
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Global Character of a Six-Dimensional Nonlinear System of Difference Equations by Mehmet Gümüş, Yüksel Soykan

“…The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: un+1=αun-1/β+γvn-2p, vn+1=α1vn-1/β1+γ1un-2p, n=0,1,…, where the parameters α,β,γ,α1,β1,γ1,p and the initial values u-i,v-i for i=0,1,2 are positive real numbers.…”
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On Nonlinear Boundary Value Problems for Functional Difference Equations with p-Laplacian by Yong Wan, Yuji Liu

“…Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher-order functional difference equations with p-Laplacian are established by making of continuation theorems. …”
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A Group Theory Approach towards Some Rational Difference Equations by Mensah Folly-Gbetoula, Nkosingiphile Mnguni, A. H. Kara

“…A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.…”
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On the Global Asymptotic Stability of a Second-Order System of Difference Equations by Ibrahim Yalcinkaya

“…A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations 𝑧𝑛+1=(𝑡𝑛𝑧𝑛−1+𝑎)/(𝑡𝑛+𝑧𝑛−1),𝑡𝑛+1=(𝑧𝑛𝑡𝑛−1+𝑎)/(𝑧𝑛+𝑡𝑛−1),𝑛=0,1,2,…, where the parameter 𝑎𝜖(0,∞) and the initial values (𝑧𝑘,𝑡𝑘)𝜖(0,∞) (for 𝑘=−1,0).…”
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Nonlocal Boundary Value Problems for Elliptic-Parabolic Differential and Difference Equations by Allaberen Ashyralyev, Okan Gercek

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Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type by Janusz Migda, Małgorzata Migda, Magdalena Nockowska-Rosiak

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Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations by Wen-Xue Zhou, Hai-zhong Liu

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Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales by Tongxing Li, Josef Diblík, Alexander Domoshnitsky, Yuriy V. Rogovchenko, Felix Sadyrbaev, Qi-Ru Wang

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Discrete Gronwall’s inequality for Ulam stability of delay fractional difference equations by Shu-Yu Yang, Guo-Cheng Wu

Subjects: “…delay fractional difference equations…”
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Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations by Xiaoqing Wen, Hongwei Yin

“…Further, we investigate the nonautonomous linear and semilinear difference equations and obtain the weighted pseudo almost automorphic solutions of both these kinds of difference equations, respectively. …”
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces by Anna Kisiolek, Ireneusz Kubiaczyk

“…We consider the second-order nonlinear difference equations of the form Δ(rn−1Δxn−1)+pnf(xn−k)=hn. …”
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On Some New Fixed Point Results with Applications to Matrix Difference Equations by Marwan Amin Kutbi, Jamshaid Ahmad, Muhammad Imran Shahzad

“…Some convergence results for a class of matrix difference equations will be derived as application.…”
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On well-posedness of the nonlocal boundary value problem for parabolic difference equations by A. Ashyralyev, I. Karatay, P. E. Sobolevskii

“…The well-posedness of this nonlocal boundary value problem for difference equations in various Banach spaces is studied. …”
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On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium by István Győri, László Horváth

“…It is proved that any first-order globally periodic linear inhomogeneous autonomous difference equation defined by a linear operator with closed range in a Banach space has an equilibrium. …”
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Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients by Durhasan Turgut Tollu

“…This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and positive. …”
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Application of Finite_Difference Equation on Stability Calculation of Reservoir Band of Lechang George 　　Project by 王汇明

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Some Discussions on the Difference Equation xn+1=α+(xn-1m/xnk) by Awad A. Bakery

“…We give in this work the sufficient conditions on the positive solutions of the difference equation xn+1=α+(xn-1m/xnk),  n=0,1,…, where α, k, and m∈(0,∞) under positive initial conditions x-1,  x0 to be bounded, α-convergent, the equilibrium point to be globally asymptotically stable and that every positive solution converges to a prime two-periodic solution. …”
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On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space by H. Attia Hussein

Subjects: “…difference equations…”
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The Neimark–Sacker Bifurcation and Global Stability of Perturbation of Sigmoid Beverton–Holt Difference Equation by M. R. S. Kulenović, Connor O’Loughlin, E. Pilav

“…This difference equation is one of the perturbations of the sigmoid Beverton–Holt difference equation, which is a major mathematical model in population dynamics. …”
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