On oscillation of a logistic equation with several delays

For a scalar delay logistic equationẏ(t)=y(t)∑k=1mrk(t)1−y(hk(t))K, hk(t)⩽t,a connection between oscillating properties of this equation, the corresponding differential inequalities and the linear equationẋ(t)+∑k=1mrk(t)x(hk(t))=0,is established. Explicit nonoscillation and oscillation conditions are presented.