Using a fixed point theorem of strict-set-contraction, we some established the existence of positive periodic solutions for the neutral logistic difference equation, with multiple delays,
![$$
\Delta x(n)=x(n)\Big[ a(n) -\sum_{i=1}^{p}a_{i}(n)
x(n-\tau_{i}(n)) -\sum_{j=1}^{q}c_{j}(n)
\Delta x(n-\sigma_{j}(n))\Big].
$$](gifs/aa.gif)
Yongkun Li, Qian Chen
Abstract:
Using a fixed point theorem of strict-set-contraction, we
some established the existence of positive periodic
solutions for the neutral logistic difference equation,
with multiple delays,
Submitted May 22, 2007. Published August 14, 2007.
Math Subject Classifications: 34K13, 34K40, 92B05.
Key Words: Positive periodic solution;
neutral functional difference equation;
strict-set-contraction.
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| Yongkun Li Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: yklie@ynu.edu.cn |
| Qian Chen Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China |
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