Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

被引：7
|
作者：
Wang, Ying [1 ]
Li, Jing [1 ]
Cai, Zengxia [1 ]
机构：
[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2017年
基金：
中国国家自然科学基金;
关键词：
positive solution; periodic boundary conditions; second-order differential equation; singularity; EXISTENCE;
D O I：
10.1186/s13661-017-0776-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for. is derived such that for any. lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.
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页数：11
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