×

Oscillations of a class of delay equations with continuous and piecewise constant arguments. (English) Zbl 0697.34059

We establish sufficient conditions for the oscillation of all solutions of the delay logistic equation \[ \dot N(t)=N(t)\{a-bN(t-\tau)-cN([t- k])\} \] about its positive steady state where \(b,c,\tau \in {\mathbb{R}}^+\) with \(b+c\neq 0\), \(a\in {\mathbb{R}}^+\) and \(k\in N\) where \(N=\{0,1,...\}\) and [\(\cdot]\) denotes the greatest integer function.
Reviewer: K.Gopalsamy

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)