Advances in Difference Equations 
Volume 2006 (2006), Article ID 82143, 12 pages
doi:10.1155/ADE/2006/82143

Oscillation of a logistic difference equation with several delays

L. Berezansky1 and E. Braverman2

 1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W. Alberta T2N 1N4, Calgary, Canada
Received 13 January 2005; Revised 19 July 2005; Accepted 21 July 2005

Abstract

For a delay difference equation N(n+1)−N(n)=N(n)∑k=1mak(n)(1−N(gk(n))/K),ak(n)≥0, gk(n)≤n,K>0, a connection between oscillation properties of this equation and the corresponding linear equations is established. Explicit nonoscillation and oscillation conditions are presented. Positiveness of solutions is discussed.