Global behavior of P-dimensional difference equations system

نویسندگان

چکیده

<p style='text-indent:20px;'>The global asymptotic stability of the unique positive equilibrium point and rate convergence solutions system two recursive sequences has been studied recently. Here we generalize this study to <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula> id="M2">$x_{n+1}^{(j)}=A+\left(x_{n-m}^{(j+1) mod (p)} \;\;/ x_{n}^{(j+1) (p)}\;\;\;\right) $</tex-math></inline-formula>, id="M3">$ n = 0,1,\ldots, id="M4">$ m,p\in \mathbb{N} where id="M5">$ A\in(0,+\infty) id="M6">$ x_{-i}^{(j)} are arbitrary numbers for id="M7">$ i 1,2,\ldots,m id="M8">$ j 1,2,\ldots,p. We also give some numerical examples demonstrate effectiveness results obtained.</p>

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic behavior of a system of two difference equations of exponential form

In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

متن کامل

Global behavior of the solutions of some difference equations

where the initial conditions x-r, x-r+1, x-r+2,..., x0 are arbitrary positive real numbers, r = max{l, k, p, q} is nonnegative integer and a, b, c are positive constants: Moreover, we obtain the form of the solution of some special cases of Equation 1 and some numerical simulations to the equation are given to illustrate our results. Let us introduce some basic definitions and some theorems tha...

متن کامل

Global Behavior of Two Families of Nonlinear Symmetric Difference Equations

We mainly investigate the global asymptotic stability and exponential convergence of positive solutions to two families of higher-order difference equations, one of which was recently studied in Stević’s paper 2010 . A new concise proof is given to a quite recent result by Stević and analogous parallel result of the other inverse equation, which extend related results of Aloqeili 2009 , Berenha...

متن کامل

A Note on the Global Behavior of a Nonlinear System of Difference Equations

This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 1685-1704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the determinis...

متن کامل

On the existence of solution for a $k$-dimensional system of three points nabla fractional finite difference equations

In this paper, we investigate the existence of solution for a k-dimensional system of three points nabla fractional finite difference equations. Also, we present an example to illustrate our result.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Electronic research archive

سال: 2021

ISSN: ['2688-1594']

DOI: https://doi.org/10.3934/era.2021029