Global attractivity in a nonlinear difference equation
In this paper, we study the asymptotic behavior of positive solutions of the nonlinear difference equation $$ x_{n+1}=x_n f(x_{n-k}), $$ where $f:[0,infty)o(0, infty)$ is a unimodal function, and $k$ is a nonnegative integer. Sufficient conditions for the positive equilibrium to be a global attract...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/15/q1/abstr.html |