A monotone approximation for the nonautonomous size-structured population model

被引：13

作者：

Ackleh, AS ^{[1
]}

Deng, K ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1999年 / 57卷 / 02期

关键词：

nonlocal nonautonomous problem of hyperbolic type; comparison principle; monotone approximation method; linear convergence;

D O I：

10.1090/qam/1686189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：261 / 267

页数：7

共 10 条

[1]

BANKS HT, 1991, INT S NUM M, V100, P35

[2] TRANSFORMATION SEMIGROUPS AND L1-APPROXIMATION FOR SIZE STRUCTURED POPULATION-MODELS [J].