Geodesic
Existence of solutions to generalized von Foerster equations with functional dependence
Henryk Leszczyński1 ; Piotr Zwierkowski2
1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
2 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/14 87-100 Toruń, Poland
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 201-210 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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).
DOI : 10.4064/ap83-3-2
Keywords: prove existence solutions differential functional system which describes wide class multi component populations dependent their past time state densities their total size using different types hale operator incorporate model classical von foerster type equations delays past time dependence integrals influence group species

Henryk Leszczyński 1 ; Piotr Zwierkowski 2

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
2 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/14 87-100 Toruń, Poland 
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Henryk Leszczyński; Piotr Zwierkowski. Existence of solutions to generalized
 von Foerster equations with functional dependence. Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 201-210. doi: 10.4064/ap83-3-2

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