Examples of the nonexistence of a solution in the presence of upper and lower solutions

被引：15

作者：

Habets, P

Pouso, RL

机构：

[1] Inst Math Pure & Appliquee, B-1348 Louvain, Belgium

[2] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15706, Spain

来源：

ANZIAM JOURNAL | 2003年 / 44卷

关键词：

D O I：

10.1017/S1446181100012955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Standard results for boundary value problems involving second-order ordinary differential equations ensure that the existence of a well-ordered pair of lower and upper solutions together with a Nagumo condition imply existence of a solution. In this note we introduce some examples which show that existence is not guaranteed if no Nagumo condition is satisfied.

引用

页码：591 / 594

页数：4

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