Results 1 to 10 of about 279,696 (263)
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
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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
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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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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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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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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
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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
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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
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New class of practically solvable systems of difference equations of hyperbolic-cotangent-type
Electronic Journal of Qualitative Theory of Differential Equations, 2020 The systems of difference equations $$x_{n+1}=\frac{u_nv_{n-2}+a}{u_n+v_{n-2}},\quad y_{n+1}=\frac{w_ns_{n-2}+a}{w_n+s_{n-2}},\quad n\in\mathbb{N}_0,$$ where $a, u_0, w_0, v_j, s_j$ $j=-2,-1,0,$ are complex numbers, and the sequences $u_n$, $v_n,$ $w_n$,
Stevo Stevic
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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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