Oscillation and linearized oscillation of a logistic equation with several delays
For a scalar delay logistic equation y'(t) = y(t)Σk=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 equation x'(t) + Σk=1mrk(t)x(hk(t)) = 0 is established. Explicit nonoscillation and oscillation conditions are presented. When hk(t) = t - τk, k = 1,2,...,m, we also investigate the linearized oscillation of Eq. (*).