Triple positive solutions for a second order m -point boundary value problem with a delayed argument

Boundary value problems

Meiqiang Feng¹  Jie Zhou² 

[1] Technology University, Beijing, People’School of Applied Science, Beijing Information Science &s Republic of China

关键词: triple positive solutions;    delayed argument;    Leggett-Williams’ fixed point theorem;    Hölder’s inequality;   

DOI  :  10.1186/s13661-015-0436-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish the new expression and properties of Green’s function for an m-point boundary value problem with a delayed argument. Furthermore, using Hölder’s inequality and a fixed point theorem due to Leggett and Williams, the existence of at least three positive solutions is also given. We discuss our problem with a delayed argument. In this case, our results cover m-point boundary value problems without delayed arguments and are compared with some recent results. An example is included to illustrate our main results.

【 授权许可】

CC BY