On oscillation of a logistic equation with several delays

摘要

For a scalar delay logistic equation y(t) = y(t) ∑ from k = 1 to m of r_k(t) (1 - (y(k_k(t)))/K), h_k(t) ≤ t, a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equation x(t) + ∑ from k = 1 to m of r_k(t)x(h_k(t)) = 0, is established. Explicit nonoscillation and oscillation conditions are presented.