OSCILLATION OF A LOGISTIC DIFFERENCE EQUATION WITH SEVERAL DELAYS

For a delay difference equation N(n + 1) − N(n) = N(n)∑mk=1 ak(n)(1 − N(gk(n))/K), ak(n) ≥ 0, gk(n) ≤ n, K> 0, a connection between oscillation properties of this equa-tion and the corresponding linear equations is established. Explicit nonoscillation and oscillation conditions are presented. Positiveness of solutions is discussed. Copyright © 2006 L. Berezansky and E. Braverman. This is an open access article distrib-uted under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1