Comparison ODE theorems related to the method of lines

被引：4

作者：

Leszczynski, Henryk ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, Wita Stwosza 57, PL-80952 Gdansk, Poland

来源：

JOURNAL OF APPLIED ANALYSIS | 2011年 / 17卷 / 01期

关键词：

MOL; uniqueness; comparison; functional dependence; ODE; DAE;

D O I：

10.1515/JAA.2011.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a comparison theorem for an ODE and DAE system which arises from the method of lines. Under a Perron comparison condition on the functional dependence and a specific Lipschitz and (W+) condition on the classical argument, we obtain strong uniqueness criteria.

引用

页码：137 / 154

页数：18

共 11 条

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