Abstract: Consider the nonautonomous delay logistic equation △y_n = p_ny_n(1-(y_n-l_n)), n ≥ 0, (1)where {p_n}n≥0 is a sequence of nonnegative real numbers, {l_n}n≥0 is a sequence of positive integers satisfying lim n→∞(n - l_n) = ∞, and k is a positive constant. Only solutions which are positive for n ≥ 0 are considered. We obtain a new sufficient for all positive solutions of (1) to oscillate about k which contains the corresponding result in [2] when i = 1.

Key words: variable delay, Logistic difference equation, positive solution, oscillation