The shooting method and integral boundary value problems of third-order differential equation

Advances in Difference Equations

Wenyu Xie¹  Huihui Pang¹ 

[1] College of Science, China Agricultural University, Beijing, China

关键词: shooting method;    positive solution;    third-order;    boundary conditions including Stieltjes integrals;   

DOI  :  10.1186/s13662-016-0824-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the existence of at least one positive solution for third-order differential equation boundary value problems with Riemann-Stieltjes integral boundary conditions is discussed. By applying the shooting method and the comparison principle, we obtain some new results which extend the known ones. Meanwhile, an example is worked out to demonstrate the main results.

【 授权许可】

CC BY