Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632328 | Applied Mathematics and Computation | 2010 | 5 Pages |
Abstract
The main goal of this paper is to investigate the locally asymptotically stable, period-two solutions, invariant intervals and global attractivity of all negative solutions of the nonlinear difference equationxn+1=1-xnA+xn-k,n=0,1,â¦,where Aâ(-â,-1),k is a positive integer and initial conditions x-k,â¦,x0â(-â,0]. It is shown that the unique negative equilibrium of the equation is a global attractor with a basin that depends on certain conditions of the coefficient.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiu-Mei Jia, Lin-Xia Hu,