A monotone approximation for the nonautonomous size-structured population model

Ackleh, Azmy S.; Deng, Keng

doi:10.1090/qam/1686189

Authors: Azmy S. Ackleh and Keng Deng
Journal: Quart. Appl. Math. 57 (1999), 261-267
MSC: Primary 35Q80; Secondary 35L45, 65M12, 92D25
DOI: https://doi.org/10.1090/qam/1686189
MathSciNet review: MR1686189
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Abstract: In this paper we develop a monotone approximation method, based on an upper and lower solutions technique, for solving the nonautonomous size-structured model. Such a technique results in the existence and uniqueness of solutions for this equation. Furthermore, we establish a first-order convergence of the method and present a numerical example.

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