Existence, uniqueness and convergence of approximate solutions of impulsive neutral differential equations

In this paper we shall study an impulsive neutral functional differential equation in a separable Hilbert space. We shall use the analytic semigroup theory of linear operators and fixed point technique to study the existence, uniqueness, and the convergence of approximate solutions to the given problem. We will also prove the existence and convergence of finite dimensional approximate solutions to the given problem. In the last an example is also illustrated.