Display Abstract

Title On system of difference equations included negative exponential terms

Name Christos J Schinas
Country Greece
Email cschinas@ee.duth.gr
Co-Author(s) G. Papaschinopoulos, N. Fotiades
Submit Time 2014-04-03 16:51:19
Session
Special Session 99: Asymptotic expansion for nonoscillatory solutions of differential and difference equations
Contents
In this paper we study the asymptotic behavior of the positive solutions of the system of two difference equations \[ x_{n+1}=ay_n+b x_{n-1}e^{{-y_n}},\ \ y_{n+1}=cx_n+d y_{n-1}e^{{-x_n}}, \ \ n=0,1,\ldots \] where $a,b,c,d$ are positive constants and the initial values $x_{-1}, x_0, y_{-1}, y_0$ are positive numbers.