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

Abstract

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.