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On a third-order system of difference equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stevic
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On the solutions of a system of difference equations with maximum
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taixiang Sun, Hongjian Xi
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On the system of rational difference equations
AIP Conference Proceedings, 2018In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1,z0,z−1 real numbers such that y0 x−1 ≠1 and x0y−1 ≠ 1In this paper, we investigate solutions of the system of difference equations xn+1=xn−1ynxn−1, yn+1=yn−1xnyn−1−1, zn+1=xnynzn−1, where x0,x−1,y0,y−1 ...
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On fourteen solvable systems of difference equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tollu, D. T., Yazlik, Y., Taskara, N.
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A SYSTEM OF FOURTH ORDER DIFFERENCE EQUATIONS
Far East Journal of Mathematical Sciences (FJMS), 2019Summary: A full Lie analysis of the system of fourth order difference equations \[ x_{n+4}=\frac{x_{n+1}y_{n}}{y_{n+3}(a_{n}+b_{n}x_{n+1}y_{n})}, y_{n+4}=\frac{x_{n}y_{n+1}}{x_{n+3}(c_{n}+d_{n}x_{n}y_{n+1})}, \] where \((a_n)_{n\in\mathbb{N}_{0}}\), \((b_n)_{n\in\mathbb{N}_{0}}\), \((c_n)_{n\in\mathbb{N}_{0}}\) are non-zero real sequences has been ...
Folly-Gbetoula, M., Nyirenda, D.
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Estimating systems of equations with different instruments for different equations
Journal of Econometrics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equations with a difference kernel on a system of intervals
Journal of Soviet Mathematics, 1990The author gives sufficient conditions for the existence of a solution of the integral equation in the space \(L^ p_ n(0,w)\) \[ (1)\quad d/dx\int^{w}_{0}S(x,t)y(t)dt=g(x), \] where \(w>0\), S(x,t) is an \(n\times n\)-matrix of the form \([K_{i,j}(w_ ix-w_ jt)]^ n_{i,j=1}\), where \(K_{i,j}\in L^ q(-w_ jw,w_ iw)\), \(w_ k>0\), \(1/p+1/q=1\).
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Multitime Methods for Systems of Difference Equations
Studies in Applied Mathematics, 1977Systems of difference equations containing small parameters are studied by a constructive perturbation scheme analogous to the one developed by the authors for the study of differential equations. The method results in an averaging procedure for difference equations, and it is particularly well suited to certain highly oscillatory, nonlinear systems ...
Hoppensteadt, Frank C. +1 more
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Systems of Difference Equations
1996In the last chapter, we concerned ourselves with linear difference equations, namely, those equations with only one independent and one dependent variable. Since not every situation that we will encounter will be this facile, we must be prepared to deal with systems of more than one dependent variable.
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Singular systems of partial difference equations
Multidimensional Systems and Signal Processing, 1993The paper is concerned with systems of partial difference equations of the form (1) \(Ax(i+1,k)+Bx(i,k+1)+Cx(i,k)=u(i,k)\) or (2) \(Ax(i+1,k+1)+Bx(i+1,k)+Cx(i,k+1)=u(i,k)\) where \(i\geq 0\), \(k\geq 0\) and \(A,B,C\) are constant nonzero square matrices with \(\text{det} A=\text{det} B=0\) in case (1) and \(\text{det} A=0\) in case (2), respectively ...
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