Nicholson's blowflies equation and a delay independent Aizerman problem *

As shown by its title, the aim of this paper is twofold. Firstly, the equation of Nicholson describing population dynamics is interesting in itself since it is a straightforward example of time delay equation where the delay appears naturally in the models as a consequence of the (here biological) phenomenon. On the other hand the nonlinearity occurring in this equation is a sector restricted one and incorporating the stability problems in an absolute stability one makes sense. The main result of the paper is the positive answer to the associated delay independent Aizerman conjecture.