Results 11 to 20 of about 290,059 (256)
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 the Solutions of Systems of Difference Equations [PDF]
Advances in Difference Equations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yalcinkaya, Ibrahim +2 more
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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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On the Periodic Solutions of Some Systems of Difference Equations
Communications in Advanced Mathematical Sciences, 2018 In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
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Characterization of P-Semi Homogenous System of Difference Equations
Al-Mustansiriyah Journal of Science, 2023 The primary aim of this paper is to define new concepts, A homogenous system of difference equations is called -semi homogenous of order if there exists a non-zero matrix
Abdul Samad Ibrahim Hussein +1 more
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The oscillation of systems of difference equations
Applied Mathematics Letters, 2000 The paper concerns the oscillatory behavior of the linear system \[ (-1)^{m+1}\Delta^{m}y_{i}(n)+ \sum_{j=1}^{N}q_{ij}y_{j}(n-\tau_{jj})=0, \quad m\geq 1, \quad i=1,\ldots,N, \tag{1} \] where \(q_{ij}\) are real numbers and \(\tau_{jj}\) are positive integers, \(\Delta\) is the first-order forward difference operator and \(\Delta^{m}y(n)=\Delta^{m-1 ...
Agarwal, R.P., Grace, S.R.
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Solution for Rational Systems of Difference Equations of Order Three
Mathematics, 2016 In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
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On a higher-order system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Here we study the following system of difference equations \begin{align} x_n&=f^{-1}\bigg(\frac{c_nf(x_{n-2k})}{a_n+b_n\prod_{i=1}^kg(y_{n-(2i-1)})f(x_{n-2i})}\bigg),\nonumber\\ y_n&=g^{-1}\bigg(\frac{\gamma_n g(y_{n-2k})}{\alpha_n+\beta_n \prod_{i=1}^kf(
Stevo Stevic +3 more
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OSCILLATIONS IN SYSTEMS OF DIFFERENCE EQUATIONS
Far East Journal of Dynamical Systems, 2011 In this paper, we obtain a new sufficient condition for oscillation of all solutions of the system of difference equations of the form where are sequences of real numbers, is an increasing sequence of integers such that for all and and is the forward difference operator.
Chatzarakis, G. E., Groumpas, E. I.
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SYSTEMS OF DIFFERENCE EQUATIONS APPROXIMATING THE LORENZ SYSTEM OF DIFFERENTIAL EQUATIONS [PDF]
Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017 A b s t r a c t: In this paper, starting from the Lorenz system of differential equations, some systems of difference equations are produced. Using some regularities in these systems of difference equations, polynomial approximations of their solutions are found.
Zlatanovska, Biljana, Dimovski, Donco
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