Perturbations of Nonlinear Systems of Difference Equations
نویسندگان
چکیده
منابع مشابه
On Some Fractional Systems of Difference Equations
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
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15 صفحه اولPerturbations of Nonlinear Systems of Differential Equations , Ill
1. The effect of a perturbation on the solutions of a linear system of differential equations can be studied by means of the variation of constants formula. The nonlinear variation of constants formula of Alekseev [l] has been used to obtain various results on the effect of a perturbation on the solutions of a nonlinear system; see, for example [2], [3], [5]. In most of these results, the trivi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0453