Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line

被引：56

作者：

Yan, BQ ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 06期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

boundary value problems; Corduneanu Theorem; unbounded solution; fixed point index;

D O I：

10.1016/S0362-546X(01)00877-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line were presented. A special Banach space C∞ was constructed and the Corduneanu theorem was improved in C∞. Conditions were found that proved that the nonzero nonnegative solutions were unbounded.

引用

页码：1031 / 1044

页数：14

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