Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636860 | Applied Mathematics and Computation | 2006 | 10 Pages |
Abstract
In this paper, we study the global behavior of the higher order nonlinear difference equationxn+1=βxn-k+1+γxn-2k+1Bxn-k+1+Cxn-2k+1,n=0,1,â¦,where B, C and β, γ are positive, k â {1, 2, 3, â¦}, and the initial conditions xâ2k+1, â¦Â , xâ1, x0 are positive real numbers. We investigate the character of semicycles, periodicity, global stability and convergence to 2k-cycle solutions of mentioned equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Reza Mazrooei-Sebdani, Mehdi Dehghan,