Nonlinear Volterra difference equations in space lp by Michael I. Gil', Rigoberto Medina

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Eventually Periodic Solutions of a Max-Type Difference Equation by Taixiang Sun, Jing Liu, Qiuli He, Xin-He Liu, Chunyan Tao

“…We study the following max-type difference equation xn=max⁡{An/xn-r,xn-k}, n=1,2,…, where {An}n=1+∞ is a periodic sequence with period p and k,r∈{1,2,…} with gcd(k,r)=1 and k≠r, and the initial conditions x1-d,x2-d,…,x0 are real numbers with d=max⁡{r,k}. …”
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Quantitative Bounds for Positive Solutions of a Stević Difference Equation by Wanping Liu, Xiaofan Yang

“…Some analogous results are also established for the corresponding Stević max-type difference equation.…”
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Boundedness and asymptotic behavior of solutions of a forced difference equation by John R. Graef, Paul W. Spikes

Subjects: “…difference equations…”
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Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation by Abdul Qadeer Khan, Hamdy El-Metwally

“…In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.…”
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Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation by M. M. El-Dessoky, E. M. Elabbasy, Asim Asiri

“…The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. …”
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Global Attractivity and Periodic Character of Difference Equation of Order Four by M. A. Obaid, E. M. Elsayed, M. M. El-Dessoky

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Periodic Solution for a Max-Type Fuzzy Difference Equation by Changyou Wang, Jiahui Li

“…Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters. …”
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Fixed Points of Meromorphic Solutions for Some Difference Equations by Zong-Xuan Chen, Kwang Ho Shon

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On the periodic nature of some max-type difference equations by E. M. Elabbasy, H. El-Metwally, E. M. Elsayed

“…We study some qualitative behavior of solutions of some max-type difference equations with periodic coefficients. Some new results of the periodicity character of solutions of that type of difference equations will be established.…”
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Existence of positive solutions for certain partial difference equations by Binggen Zhang, Qiuju Xing

“…We give some sufficient conditions for the existence of positive solutions of partial difference equation aAm+1,n+1+bAm,n+1+cAm+1,n−dAm,n+Pm,nAm−k,n−1=0 by two different methods.…”
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Dynamics of a Family of Nonlinear Delay Difference Equations by Qiuli He, Taixiang Sun, Hongjian Xi

“…We study the global asymptotic stability of the following difference equation: xn+1=f(xn-k1,xn-k2,…,xn-ks;xn-m1,xn-m2,…,xn-mt),n=0,1,…, where 0≤k1<k2<⋯<ks and 0≤m1<m2<⋯<mt with {k1,k2,…,ks}⋂‍{m1,m2,…,mt}=∅, the initial values are positive, and f∈C(Es+t,(0,+∞)) with E∈{(0,+∞),[0,+∞)}. …”
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Entire solutions for non-linear differential-difference equations by Harina P. Waghamore, Manjunath Banagere Erajikkappa

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Asymptotic Stability for a Class of Nonlinear Difference Equations by Chang-you Wang, Shu Wang, Zhi-wei Wang, Fei Gong, Rui-fang Wang

“…We study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a),l,k,s,t are nonnegative integers, r=max⁡⁡{l,k,s,t} and α,a,b,c are positive constants. …”
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Positive Solutions for Systems of Second-Order Difference Equations by Johnny Henderson, Rodica Luca

“…We study the existence and nonexistence of positive solutions of some systems of nonlinear second-order difference equations subject to multipoint boundary conditions which contain some positive constants.…”
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A focal boundary value problem for difference equations by Cathryn Denny, Darrel Hankerson

Subjects: “…difference equation…”
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Oscillations in Difference Equations with Deviating Arguments and Variable Coefficients by G. E. Chatzarakis, H. Péics, I. P. Stavroulakis

“…New sufficient conditions for the oscillation of all solutions of difference equations with several deviating arguments and variable coefficients are presented. …”
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The Robustness of Strong Stability of Positive Homogeneous Difference Equations by The Anh Bui, Dang Xuan Thanh Duong

“…We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. …”
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Variation of constants formulae for difference equations with advanced arguments by Lolimar Díaz, Raúl Naulin

Subjects: “…Difference equations with advanced arguments…”
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Oscillation and nonoscillation theorems for some mixed difference equations by B. Smith, W. E. Taylor

Subjects: “…mixed difference equations…”
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