Existence of Multiple Positive Solutions of a Type of Impulsive Functional Differential Equations

In this paper, we consider the non-periodic boundary value problem for a type of first order impulsive functional differential equation in Banach spaces. The existence of pulse in differential equations makes them an important area of investigation. We make use of fixed point index theory on the cone to prove existence of positive solutions. The conditions for existence of two and three positive solutions are given.