Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition

被引：4

作者：

Li, Shengjun ^{[1
]}

Liang, Li ^{[1
]}

Xiu, Zonghu ^{[2
]}

机构：

[1] Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Peoples R China

[2] Qingdao Agr Univ, Coll Sci & Informat Sci, Qingdao 266109, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

基金：

中国国家自然科学基金;

关键词：

SINGULAR DYNAMICAL-SYSTEMS; FIXED-POINT THEOREM; WEAK SINGULARITIES; EXISTENCE; MULTIPLICITY;

D O I：

10.1155/2012/528719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of positive solutions for second-order nonlinear differential equations with nonseparated boundary conditions. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a nonlinear alternative principle of Leray-Schauder. Recent results in the literature are generalized and significantly improved.

引用

页数：13

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