The method of upper and lower solutions to impulsive differential equations with integral boundary conditions

Advances in Difference Equations

Chen Cai¹  Huihui Pang¹  Meng Lu¹ 

[1] College of Science, China Agricultural University, Beijing, P.R. China

关键词: impulsive differential equation;    lower (upper) solution;    integral boundary condition;    Leray-Schauder degree;   

DOI  :  10.1186/1687-1847-2014-183

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper considers a second-order impulsive differential equation with integral boundary conditions. Some sufficient conditions for the existence of solutions are proposed by using the method of upper and lower solutions and Leray-Schauder degree theory.

【 授权许可】

CC BY