Nonlinear boundary value problems for first order impulsive integro-differential equations

Abstract

In this paper, we investigate a class of first order impulsive integro-differential equations subject to certain nonlinear boundary conditions and prove, with the help of upper and lower solutions, that the problem has a solution lying between the upper and lower solutions. We also develop monotone iterative technique and show the existence of multiple solutions of a class of periodic boundary value problems

Keywords:

• Impulsive integro-differential equation
• nonlinear boundary value problem
• periodic boundary value problem
• monotone iterative technique

AMS(MOS):

• 34B15