Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions

Boundary value problems

Wenyu Xie¹  Huihui Pang¹  Limei Cao² 

[1] College of Science, China Agricultural University, Beijing, China;School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China

关键词: Riemann-Stieltjes integral boundary conditions;    iterative;    monotone positive solution;    completely continuous;   

DOI  :  10.1186/s13661-015-0402-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the existence of concave positive solutions and establishes corresponding iterative schemes for a third-order boundary value problem with Riemann-Stieltjes integral boundary conditions. The main tool is a monotone iterative technique. Meanwhile, an example is worked out to demonstrate the main results.

【 授权许可】

CC BY