Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 12324, 14 pages
Iterative Methods for Generalized von Foerster Equations with Functional Dependence
1Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, Gdańsk 80-952, Poland
2Institute of Mathematics and Informatics, University of Warmia and Mazury, Żołnierska 14, Olsztyn 10-561, Poland
Received 4 August 2007; Accepted 13 November 2007
Academic Editor: Patricia J. Y. Wong
Copyright © 2007 Henryk Leszczyński and Piotr Zwierkowski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate when a natural iterative method converges
to the exact solution of a differential-functional von Foerster-type equation
which describes a single population depending on its past time and
state densities, and on its total size. On the right-hand side, we assume
either Perron comparison conditions or some monotonicity.