Results 1 to 10 of about 289,960 (157)
On a System of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2013 We have investigated the periodical solutions of the system of rational difference equations , and where .
Ozan Özkan, Abdullah Selçuk Kurbanli
doaj +3 more sources
Periodicities of a System of Difference Equations [PDF]
Journal of Function Spaces, 2017 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,+∞).
Weizhen Quan, Miaoqiao Pan, Xiaopei Li
doaj +3 more sources
On a Periodic System of Difference Equations [PDF]
Abstract and Applied Analysis, 2012 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.
Stevo Stević +3 more
doaj +4 more sources
Periodic Solutions for a System of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2009 This paper deals with the second-order nonlinear systems of difference equations, we obtain the existence theorems of periodic solutions. The theorems are proved by using critical point theory.
Shugui Kang, Bao Shi
doaj +3 more sources
Behavior of an Exponential System of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2014 We study the qualitative behavior of the following exponential system of rational difference equations: xn+1 = αe-yn+βe-yn-1/γ+αxn+βxn-1, yn+1 = α1e-xn+β1e-xn-1/γ1+α1yn+β1yn-1, n = 0,1,…, where α, β, γ, α1, β1, and γ1 and initial conditions x0, x-1,
A. Q. Khan, M. N. Qureshi
doaj +3 more sources
On a System of Difference Equations of an Economic Model [PDF]
Discrete Dynamics in Nature and Society, 2013 We study some qualitative properties of the solutions of a system of difference equations, which describes an economic model. The study of the local stability of the equilibrium points is carried out.
M. F. Elettreby, H. El-Metwally
doaj +2 more sources
On the Solutions of a General System of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2012 We deal with the solutions of the systems of the difference equations xn+1=1/xn-pyn-p, yn+1=xn-pyn-p/xn-qyn-q, and xn+1=1/xn-pyn-pzn-p, yn+1=xn-pyn-pzn-p/xn-qyn-qzn-q, zn+1=xn-qyn-qzn-q/xn-ryn-rzn-r, with a nonzero real numbers initial conditions.
E. M. Elsayed +2 more
doaj +3 more sources
On Some Solvable Systems of Some Rational Difference Equations of Third Order
Mathematics, 2023 Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero ...
Khalil S. Al-Basyouni +1 more
doaj +1 more source
Characterization of Homogeneous System of Difference Equations
Al-Mustansiriyah Journal of Science, 2021 In this paper, we introduced new definitions of the system of homogenous difference equations of order two; namely homogenous and semi homogenous system, where we focused on finding the equivalents for these definitions of order one as well as of order ...
Huda Hussein Abed +1 more
doaj +1 more source
On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
Abstract and Applied Analysis, 2012 Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
Stević, Stevo +3 more
openaire +3 more sources