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.