Positive periodic solutions of neutral logistic difference equations with multiple delays

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, $$ Delta x(n)=x(n)Big[ a(n) -sum_{i=1}^{p}a_{i}(n) x(n-au_{i}(n)) -sum_{j=1}^{q}c_{j}(n) Delta x(n-sigma_{j}(n))Big]. $$

Keywords

• Positive periodic solution
• neutral functional difference equation
• strict-set-contraction