Global Asymptotic Behavior of Positive Solutions for Exponential Form Difference Equations with Three Parameters∗

نویسندگان

  • Hui Feng
  • Huili Ma
  • Wandi Ding
چکیده

In this paper, we study a class of second order difference equations with three paremeters. With positive initial values, the asymptotic behavior of positive solutions are investigated.

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

ثبت نام

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 asymptotic behavior of solutions of an exponential type systems of difference equations

In this paper we study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the following systems of two difference equations of exponential form: xn+1 = α+ βe−yn γ + xn−1 , yn+1 = δ + e−xn ζ + yn−1 , where α, β, γ, δ, , ζ are positive constants and the initial values x−1, x0, y−1, y0 are positive constants. ∗Speaker

متن کامل

Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form

In this paper we study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the following systems of two difference equations of exponential form: x nþ1 ¼

متن کامل

Asymptotic Behavior of a Competitive System of Linear Fractional Difference Equations

We investigate the global asymptotic behavior of solutions of the system of difference equations xn+1 = (a+ xn)/(b+ yn), yn+1 = (d+ yn)/(e+ xn), n= 0,1, . . . , where the parameters a,b,d, and e are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers. In certain range of parameters, we prove the existence of the global stable manifold of the unique positive e...

متن کامل

Estimation in Simple Step-Stress Model for the Marshall-Olkin Generalized Exponential Distribution under Type-I Censoring

This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lea...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016