Numerical investigation of singularly perturbed time lag parabolic differential-difference equations by Imiru Takele Daba, Wondwosen Gebeyaw Melesse, Fasika Wondimu Gelu, Guta Demisu Kebede

Subjects: “…Differential- difference equation…”
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Analytical solution of a class of coupled second order differential-difference equations by L. Jódar, J. A. Martin Alustiza

Subjects: “…differential-difference equation…”
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On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions by Chanon Promsakon, Nattapong Kamsrisuk, Sotiris K. Ntouyas, Jessada Tariboon

“…In this paper, we investigate the existence and uniqueness of solutions for a boundary value problem for second-order quantum (p,q)-difference equations with separated boundary conditions, by using classical fixed point theorems. …”
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Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces by Nicolae Lupa

“…In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. …”
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Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations by Qinqin Zhang

“…We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. …”
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The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations by Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti

“…Some new types of the Jacobi elliptic solutions are obtained for some nonlinear differential difference equations in mathematical physics. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations.…”
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Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations by Weizhen Quan, Xiaomei Lu, Li Wang, Jingren Zhou, Ridi Huang

“…The purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. Firstly, by utilizing Jacobian theory, the stability of the system is obtained. …”
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About the Stability and Positivity of a Class of Discrete Nonlinear Systems of Difference Equations by M. De la Sen

“…This paper investigates stability conditions and positivity of the solutions of a coupled set of nonlinear difference equations under very generic conditions of the nonlinear real functions which are assumed to be bounded from below and nondecreasing. …”
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A multidimensional momentum chain model for tennis matches based on difference equations. by Jingya Wang, Sihang Guo, Yuanyun Zhou

“…In this paper, taking the 7,284 scoring points in the men's singles tennis match at Wimbledon 2023 as an example, we expand upon traditional momentum research by integrating diverse algorithms, including statistical analysis and linear weighting, to construct a multidimensional momentum chain model predicated on difference equations, which aims to quantify the momentum dynamics for athletes in a match. …”
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A Hille-Wintner type comparison theorem for second order difference equations by John W. Hooker

Subjects: “…difference equations…”
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Some New Oscillation Criteria for Fourth-Order Nonlinear Delay Difference Equations by Kandasamy Alagesan, Subaramaniyam Jaikumar, Govindasamy Ayyappan

“…In this paper, the authors studied oscillatory behavior of solutions of fourth-order delay difference equation Δc3nΔc2nΔc1nΔun+pnfun−k=0 under the conditions ∑n=n0∞cin<∞, i=1, 2, 3. …”
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Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions by Chengmin Hou, Sui Sun Cheng

“…For nonlinear difference equations of the form xn=F(n,xn−1,…,xn−m), it is usually difficult to find periodic solutions. …”
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Approximating Fixed Points and the Solution of a Nonlinear Fractional Difference Equation via an Iterative Method by Faizan Ahmad Khan

“…Finally, the solution of a nonlinear fractional difference equation is approximated via the proposed iterative method. …”
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The Existence of Positive Solutions for a Fourth-Order Difference Equation with Sum Form Boundary Conditions by Yanping Guo, Xuefei Lv, Yude Ji, Yongchun Liang

“…We consider the fourth-order difference equation: Δ(z(k+1)Δ3u(k-1))=w(k)f(k,u(k)),  k∈{1,2,…,n-1} subject to the boundary conditions: u(0)=u(n+2)=∑i=1n+1g(i)u(i), aΔ2u(0)-bz(2)Δ3u(0)=∑i=3n+1h(i)Δ2u(i-2), aΔ2u(n)-bz(n+1)Δ3u(n-1)=∑i=3n+1h(i)Δ2u(i-2), where a,b>0 and Δu(k)=u(k+1)-u(k) for k∈{0,1,…,n-1},  f:{0,1,…,n}×[0,+∞)→[0,+∞) is continuous. h(i) is nonnegative i∈{2,3,…,n+2}; g(i) is nonnegative for i∈{0,1,…,n}. …”
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On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda

“…We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. …”
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Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme by Dagnachew Mengstie Tefera, Awoke Andargie Tiruneh, Getachew Adamu Derese

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A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions by Ahmed Alsaedi, Bashir Ahmad, Hana Al-Hutami

“…This paper is concerned with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional q-difference equations with nonlocal integral boundary conditions. …”
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Dynamics of positive solutions of a three dimensional higher order system of difference equations by Murad Khan Hassani, Yasin Yazlik, Nouressadat Touafek

“…In this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1=A+ynyn−k,yn+1=A+znzn−k,zn+1=A+xnxn−k,n∈ℕ0,A>0x−i,y−i,z−i,i∈{0,1,2,…,k}k∈ℕ…”
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Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order by Guangwang Su, Taixiang Sun, Bin Qin

“…We study in this paper the following max-type system of difference equations of higher order: xn=max{A,yn-k/xn-1} and yn=max{B,xn-k/yn-1}, n∈{0,1,2,…}, where A≥B>0, k≥1, and the initial conditions x-k,y-k,x-k+1,y-k+1,…,x-1,y-1∈(0,+∞). …”
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Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations by Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk

“…The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations χs+1=χs−3k+1/±1±Πl=1kχs−3l+1,s=0,1,2,…, where the initial conditions χ−j,j=0,1,2,…,3k−1 and k∈1,2,… are arbitrary real numbers. …”
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