Nonlinear singular Sturm-Liouville problems

被引：11

作者：

Duhoux, M ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 07期

关键词：

Green function; lower and upper solutions; nonlinear differential equation of second order; singular boundary value problem; Sturm-Liouville operator; topological degree;

D O I：

10.1016/S0362-546X(98)00140-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The compact interval [a,b] (a<b), function r∈C(]a,b[) such that r(t)>0 for all t∈]a,b[ and the three corresponding cases: 1/r∈L1(a,b); 1/r∈L1[a) and 1/r is not a member of the set L1(b]; and 1/r is not a member of the set L1[a) and 1/r is not a member of the set L1(b], are analyzed. Theorems are proved which gives solution to the corresponding cases.

引用

页码：897 / 918

页数：22

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[5]

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