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  • Research Article
  • Open Access

Iterative Methods for Generalized von Foerster Equations with Functional Dependence

Journal of Inequalities and Applications20072007:012324

  • Received: 4 August 2007
  • Accepted: 13 November 2007
  • Published:


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.


  • Exact Solution
  • Iterative Method
  • Functional Dependence
  • State Density
  • Total Size


Authors’ Affiliations

Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, Gdańsk, 80-952, Poland
Institute of Mathematics and Informatics, University of Warmia and Mazury, Żołnierska 14, Olsztyn, 10-561, Poland


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© H. Leszczyński and P. Zwierkowski 2007

This article is published under license to BioMed Central Ltd. 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.