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).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-2,
author = {Henryk Leszczy\'nski and Piotr Zwierkowski},
title = {Existence of solutions to generalized von Foerster equations with functional dependence},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {201-210},
zbl = {1109.35118},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-2}
}
Henryk Leszczyński; Piotr Zwierkowski. Existence of solutions to generalized von Foerster equations with functional dependence. Annales Polonici Mathematici, Tome 83 (2004) pp. 201-210. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-2/