IMPULSIVE NEUTRAL SEMILINEAR EQUATIONS ON UNBOUNDED INTERVALS

Abstract

We prove the existence of solutions for a boundary value semilinear neutral equation with impulsive effects in Rn defined on an unbounded interval. The result is obtained by using the Schaefer's fixed point theorem and a recent result on compactness of a continuous operator on the Banach space of bounded continuous functions from a topological space into Rn. As corollary we obtain a result of existence of solutions for a Cauchy Problem for semilinear neutral impulsive differential equations.