Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 110, pp. 1-10.
Title: Positive periodic solutions of neutral
logistic difference equations with multiple delays
Authors: Yongkun Li (Yunnan Univ., China)
Qian Chen (Yunnan Univ., China)
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,
$$
\Delta x(n)=x(n)\Big[ a(n) -\sum_{i=1}^{p}a_{i}(n)
x(n-\tau_{i}(n)) -\sum_{j=1}^{q}c_{j}(n)
\Delta x(n-\sigma_{j}(n))\Big].
$$
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.