Existence and uniqueness of the solutions to impulsive nonlinear integro-differential equations with nonlocal boundary conditions

Abstract

In the paper a system of ordinary impulsive integro-differential equations with nonlocal conditions is studied. At first the boundary value problem is reduced to the equivalent integral equation. Then, using the theorem on fixed points, the condition on the existence and uniqueness of the solution of the boundary value problem is obtained. Continuous dependence of the solutions on the right hand side of boundary conditions is also set up.