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

Recommended by Patricia J. Y. Wong

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.