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Online ISSN 1552-4485; Print ISSN 0033-569X
A monotone approximation for the nonautonomous size-structured population model
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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Article copyright:
© Copyright 1999
American Mathematical Society