Existence of solutions of an impulsive integro-differential equation with a general boundary value condition

Abstract

In this paper, we discuss the existence of solutions for a first-order nonlinear impulsive integro-differential equation with a general boundary value condition. New comparison principles are developed, and existence results for extremal solutions are obtained using the established principles and the monotone iterative technique. The results are more general than those of the periodic boundary problems, which may be widely applied in this field.

Keywords

• impulsive integro-differential equation
• boundary value condition
• comparison result
• minimal and maximal solutions