Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions

Abstract

In this article we introduce a new definition of impulsive conditions for boundary value problems of first order impulsive integro-differential equations with multi-point boundary conditions. By using the method of lower and upper solutions in reversed order coupled with the monotone iterative technique, we obtain the extremal solutions of the boundary value problem. An example is also discussed to illustrate our results. Mathematics Subject Classification 2010: 34B15; 34B37.