Existence of solutions to generalized von Foerster equations with functional dependence

Henryk Leszczyński, and Piotr Zwierkowski. "Existence of solutions to generalized von Foerster equations with functional dependence." Annales Polonici Mathematici 83.3 (2004): 201-210. <http://eudml.org/doc/280442>.

@article{HenrykLeszczyński2004,
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).},
author = {Henryk Leszczyński, Piotr Zwierkowski},
journal = {Annales Polonici Mathematici},
keywords = {existence; Hale operator; Foerster-type equations},
language = {eng},
number = {3},
pages = {201-210},
title = {Existence of solutions to generalized von Foerster equations with functional dependence},
url = {http://eudml.org/doc/280442},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Henryk Leszczyński
AU - Piotr Zwierkowski
TI - Existence of solutions to generalized von Foerster equations with functional dependence
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 201
EP - 210
AB - 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).
LA - eng
KW - existence; Hale operator; Foerster-type equations
UR - http://eudml.org/doc/280442
ER -