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Iterative Methods for Generalized von Foerster Equations with Functional Dependence

Journal of Inequalities and Applications volume 2007, Article number: 012324 (2007) Cite this article

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.

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Authors and Affiliations

  1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, Gdańsk, 80-952, Poland

    Henryk Leszczyński

  2. Institute of Mathematics and Informatics, University of Warmia and Mazury, Żołnierska 14, Olsztyn, 10-561, Poland

    Piotr Zwierkowski

Authors
  1. Henryk Leszczyński
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  2. Piotr Zwierkowski
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Correspondence to Henryk Leszczyński.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Leszczyński, H., Zwierkowski, P. Iterative Methods for Generalized von Foerster Equations with Functional Dependence. J Inequal Appl 2007, 012324 (2007). https://doi.org/10.1155/2007/12324

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