Analytic Solution of the Stochastic System of Rational Difference Equations x_(n) velence a/y_(n-p), y_(n) velence b/x_(n+p-2)

机译：理性差分方程随机系统的分析解X_（n）柔性A / Y_（N-P），Y_（n）velence b / x_（n + p-2）

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In this paper, we investigate the periodicity of the solutions of the stochastic system of rational difference equations x_(n) velence a/y_(n-p), y_(n) velence b/x_(n+p-2) (p >= 1), and we develop a new analytic technique to solve it, where a, b, x_(0) velence N and y_(0) velence M are independent random variables.

机译：在本文中，我们研究了Rational差分方程的随机系统的解决方案的周期性X_（n）velence a / y_（np），y_（n）velence b / x_（n + p-2）（p> = 1），我们开发一种新的分析技术来解决它，其中A，B，X_（0）velence n和Y_（0）velence m是独立的随机变量。

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《International Conference of Numerical Analysis and Applied Mathematics》|2011年||共4页
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Seifedine Kadry;
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中图分类计算技术、计算机技术;
关键词
rational difference equations system; stochastic system; periodicity; transformation of random variables; linearization;

机译：理性差分方程式系统;随机系统;周期;随机变量的转换;线性化;

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1. On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n [J] . 无药物分析学报：英文版 . 2009,第003期
2. On the behavior of solutions of the system of rational difference equations: X_(n+1) = x_(n-1) /y_nx_(n-1) - 1), y_(n+1) = y_(n-1)/(x_n y_(n-1) - 1), and z_(n+1) = z_(n-1)/(y_nz_(n-1) - 1) [J] . Kurbanli A.S. Discrete dynamics in nature and society . 2011,第Pta1期

机译：关于有理差分方程组的解的行为：X_（n + 1）= x_（n-1）/ y_nx_（n-1）-1），y_（n + 1）= y_（n-1） /（x_n y_（n-1）-1）和z_（n + 1）= z_（n-1）/（y_nz_（n-1）-1）
3. ON A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS x_(n+1) = x_(n-1)/y_n x_(n-1)-1, y_(n+1)=y_(n-1)/x_n y_(n-1)-1,z_(n+1)=1/y_n z_(n+1) [J] . K. Liu, P. Li, W. Zhong Fasciculi mathematici . 2013,第51期

机译：在有理差分方程组上x_（n + 1）= x_（n-1）/ y_n x_（n-1）-1，y_（n + 1）= y_（n-1）/ x_n y_（n- 1）-1，z_（n + 1）= 1 / y_n z_（n + 1）
4. On the positive solutions of the difference equation system x_{n+1}=rac{1}{y_{n-k}}, y_{n+1}=rac{x_{n-k}}{y_{n-k}} [J] . M. Bayram, S. Ebru Das Applied mathematical sciences . 2010,第17a20期

机译：关于差分方程组x_ {n + 1} = frac {1} {y_ {n-k}}的正解，y_ {n + 1} = frac {x_ {n-k}} {y_ {n-k}}
5. Analytic Solution of the Stochastic System of Rational Difference Equations x_(n) velence a/y_(n-p), y_(n) velence b/x_(n+p-2) [C] . Seifedine Kadry International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：理性差分方程随机系统的分析解X_（n）柔性A / Y_（N-P），Y_（n）velence b / x_（n + p-2）
6. Global behavior of solutions to a class of second-order rational difference equations. [D] . Basu, Sukanya. 2009

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7. Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications [O] . Xiao-Li Ding, Juan J. Nieto 2018

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8. Solution of the Maximum of Difference Equation xn+1=max{Axn−1,ynxn};yn+1=max{Ayn−1,xnyn}matrix{ {x_{n + 1} = max left{ {{A over {x_{n - 1} }},{{y_n } over {x_n }}} ight};} {y_{n + 1} = max left{ {{A over {y_{n - 1} }},{{x_n } over {y_n }}} ight}}} [O] . Dagistan Simsek, Burak Ogul, Fahreddin Abdullayev 2020

机译：差异方程的最大解xn + 1 = max {axn-1，ynxn}; yn + 1 = max {ayn-1，xnyn} 矩阵{{x_ {n + 1} = max left {{{{{ a over {x_n {n - 1}}}，{y_n} over {x_n}}} light };}＆{y_ {n + 1} = max left {{{a over { y_ {n - 1}}}，{{x_n} over {y_n}}} rectle }}}

Analytic Solution of the Stochastic System of Rational Difference Equations x_(n) velence a/y_(n-p), y_(n) velence b/x_(n+p-2)

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