Difference equation for a population model by Mami Suzuki

Subjects: “…Difference equation…”
Get full text

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. …”
Get full text

Dynamics of the rational difference equations by Burak Oğul

“…We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. …”
Get full text

Solutions Of The Rational Difference Equations by D. Şimşek, B. Oğul

Subjects: “…difference equation…”
Get full text

On Two Systems of Difference Equations by Bratislav Iričanin, Stevo Stević

Get full text

Fractional Order Difference Equations by J. Jagan Mohan, G. V. S. R. Deekshitulu

“…A difference equation is a relation between the differences of a function at one or more general values of the independent variable. …”
Get full text

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. …”
Get full text

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,∞). …”
Get full text

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.…”
Get full text

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. …”
Get full text

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.…”
Get full text

Solutions of the system ofmaximum difference equations by D. Şimşek, M. Eröz

Subjects: “…difference equation…”
Get full text

Solutions Of The System Of Maximum Difference Equations by D. Şimşek, B. Oğul

Subjects: “…difference equation…”
Get full text

Nonlinear Functional Difference Equations with Applications by Hua Su, Yuriy V. Rogovchenko, Youssef Raffoul, Yanbin Sang, Fuyi Xu

Get full text

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

Subjects: “…Linear and nonlinear partial difference equations…”
Get full text

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. …”
Get full text

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,+∞). …”
Get full text

On Some Symmetric Systems of Difference Equations by Josef Diblík, Bratislav Iričanin, Stevo Stević, Zdeněk Šmarda

Get full text

Functional Differential and Difference Equations with Applications by Josef Diblík, Elena Braverman, István Györi, Yuriy Rogovchenko, Miroslava Růžičková, Ağacık Zafer

Get full text

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.…”
Get full text