Results 11 to 20 of about 304,833 (302)
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
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On the Solutions of Systems of Difference Equations [PDF]
Advances in Difference Equations, 2008 We show that every solution of the following system of difference equations xn+1(1)=xn(2)/(xn(2)−1), xn+1(2)=xn(3)/(xn(3)−1),…,xn+1(k)=xn(1)/(xn(1)−1) as well as of the system xn+1(1)=xn(k)/(xn(k)−1), xn+1(2)=xn(1)/(xn(1)−1),
Muhammet Atalay +9 more
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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
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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
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Symmetric nonlinear solvable system of difference equations [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsWe show the theoretical solvability of the system of difference equations $$x_{n+k}=\frac{y_{n+l}y_n-cd}{y_{n+l}+y_n-c-d},\quad y_{n+k}=\frac{x_{n+l}x_n-cd}{x_{n+l}+x_n-c-d},\quad n\in\mathbb{N}_0,$$ where $k\in\mathbb{N}$, $l\in\mathbb{N}_0 ...
Stevo Stevic +2 more
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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
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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
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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
Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations
, 2023 In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions.
Fatma E. Mansour +5 more
core +1 more source
On Two Systems of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2010 We give very short and elegant proofs of the main results in the work of Yalcinkaya et al. (2008).
Bratislav Iričanin, Stevo Stević
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