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

Copyright © 2006 L. Berezansky and E. Braverman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.