Existence of solutions to generalized von Foerster equations with functional dependence
Volume 83 / 2004
Annales Polonici Mathematici 83 (2004), 201-210
MSC: Primary 35R10; Secondary 35L45, 35A05, 92B05.
DOI: 10.4064/ap83-3-2
Abstract
We prove the existence of solutions to a differential-functional system which describes a wide class of multi-component populations dependent on their past time and state densities and on their total size. Using two different types of the Hale operator, we incorporate in this model classical von Foerster-type equations as well as delays (past time dependence) and integrals (e.g. influence of a group of species).
