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On a system of difference equations
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stević
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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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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 the system of difference equations ,
Applied Mathematics and Computation, 2013Stevo Stević
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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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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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A coupled system of difference equations
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R.P., O'Regan, D.
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Analysis of Systems Involving Difference-Differential Equations
Journal of Applied Physics, 1954It is known that many physical systems, both time and space dependent, are described by difference-differential equations. Although the exact solutions to such equations are known to be unique, their determination usually involves a segmented type of solution that is very laborious to obtain.
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Planar homogeneous systems of difference equations
Mathematical Methods in the Applied Sciences, 2014Summary: This paper is concerned to additive and multiplicative systems of homogeneous difference equations of non-negative degree. We apply a reduction in order for both additive and multiplicative systems. Then, we consider convergence and monotony of positive solutions. In fact, using convergence results on factor maps, we obtain convergence results
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