Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 12324, 14 pages
doi:10.1155/2007/12324
Research Article

Iterative Methods for Generalized von Foerster Equations with Functional Dependence

Henryk Leszczyński1 and Piotr Zwierkowski2

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.

Abstract

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.