Results 181 to 190 of about 1,841,091 (232)

Multitime Methods for Systems of Difference Equations

Studies in Applied Mathematics, 1977
Systems 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, 2018
In 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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A SYSTEM OF FOURTH ORDER DIFFERENCE EQUATIONS

Far East Journal of Mathematical Sciences (FJMS), 2019
Summary: 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, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Systems of Difference Equations

1996
In 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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