Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473901 | Computers & Mathematics with Applications | 2010 | 11 Pages |
Abstract
In this paper under some conditions on the constants A,B∈(0,∞)A,B∈(0,∞) we study the existence of positive solutions, the existence of a unique nonnegative equilibrium and the convergence of the positive solutions to the nonnegative equilibrium of the system of difference equations xn+1=(1−yn−yn−1)(1−e−Ayn),yn+1=(1−xn−xn−1)(1−e−Bxn) where A,B∈(0,∞)A,B∈(0,∞) and the initial values x−1,x0,y−1,y0x−1,x0,y−1,y0 are positive numbers which satisfy the relations x0+x−1<1,y0+y−1<1,1−y0>(1−x0−x−1)(1−e−Bx0),1−x0>(1−y0−y−1)(1−e−Ay0).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
G. Papaschinopoulos, G. Stefanidou, K.B. Papadopoulos,