Special Session 4: Delay equations applied to population dynamics
Contents
In this paper we investigate the growth/decay rate of solutions of ordinary and abstract differential and difference equations with delays. Our results can be applied for the case when the characteristic equation of an associated linear equation has complex dominant eigenvalue with
higher than one multiplicity. Examples are given for describing the asymptotic behavior of solutions in a class of quasi linear differential and difference equations arising in nonlinear population models. The sharpness of the results and their applicability to some abstract equations which appear in the theory of age dependent population models are also discussed.