A note on the shooting method and its applications in the Stieltjes integral boundary value problems

Boundary value problems

Huilan Wang¹  Zigen Ouyang¹  Hengsheng Tang¹ 

[1] School of Mathematics and Physics, University of South China, Hengyang, P.R. China

关键词: integral boundary value problem;    existence;    positive solution;    shooting method;    comparison principle;    34B10;    34B18;    34C10;   

DOI  :  10.1186/s13661-015-0359-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the existence results of positive solutions for three-point Riemann-Stieltjes integral BVPs (boundary value problems) is considered. By applying shooting method and comparison principle, we obtain some new results which extend the known ones. At the same time, the theorems in one of our published articles are corrected by another theorem in this paper.

【 授权许可】

CC BY