Global attractivity for a logistic equation with piecewise constant argument

Abstract.

In this paper we give a best possible condition for global attractivity of a logistic equation with piecewise constant argument ¶¶$y'(t)=r(t)y(t)\left\{1-\frac{y([t])}{K}\right\}, \quad t\geq 0$¶¶ where $[\cdot]$ denotes the greatest integer function, $r:[0,\infty) \to [0,\infty)$ is a continuous function and K is a positive constant.