Positive solutions of superlinear boundary value problems with singular indefinite weight

被引：14

作者：

Gaudenzi, M

Habets, P

Zanolin, F

机构：

[1] Inst Math Pures & Appl, B-1348 Louvain, Belgium

[2] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2003年 / 2卷 / 03期

关键词：

positive solutions; superlinear equations; indefinite weight; singular coefficients;

D O I：

10.3934/cpaa.2003.2.411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we propose a method to deal with non-ordered lower and upper solutions in the case of ODE's with singular coefficients. As an application, we study the existence of positive solutions for a two-point boundary value problem on]0, 1[ associated to the equation u" + a(t)g(u) = 0, where the function g : R+ --> R+ is continuous with superlinear growth at infinity and the weight a(t) changes sign as well as it may present some singularities at t = 0 or t = 1.

引用

页码：411 / 423

页数：13

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