Periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions

Boundary value problems

Jessada Tariboon¹  Chatthai Thaiprayoon²  Decha Samana³ 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

关键词: impulsive integro-differential equation;    lower and upper solutions;    periodic boundary value problem;    monotone iterative technique;   

DOI  :  10.1186/1687-2770-2012-122

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of extremal solutions of periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions. We introduce a new definition of lower and upper solutions with integral jump conditions and prove some new maximum principles. The method of lower and upper solutions and the monotone iterative technique are used. MSC: 34B37, 34K10, 34K45.

【 授权许可】

CC BY