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

Boundary value problems

Zengxia Cai¹  Ying Wang¹  Jing Li² 

[1] School of Mathematics and Statistics, Linyi University, Linyi, People’s Republic of China

关键词: positive solution;    periodic boundary conditions;    second-order differential equation;    singularity;    34B16;    34B18;   

DOI  :  10.1186/s13661-017-0776-y

学科分类：数学（综合）

来源: SpringerOpen

【 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 λ is derived such that for any λ lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.

【 授权许可】

CC BY