On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals

Boundary value problems

Guoju Ye¹  Tianqing An¹  Wei Liu¹ 

[1] Department of Mathematics, Hohai University, Nanjing, P.R. China

关键词: periodic boundary value problem;    distributional Henstock-Kurzweil integral;    distributional derivative;    extremal solutions;    upper and lower solutions;    fixed point;   

DOI  :  10.1186/1687-2770-2014-54

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is devoted to the study of existence and dependence of solutions of the first-order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The methods used are mainly the method of upper and lower solutions and a fixed point theorem.

【 授权许可】

CC BY