Existence of solutions and controllability of impulsive nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition

The present paper investigates the existence of mild solutions of a impulsive nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition in Banach spaces. Further sufficient condition for the controllability of impulsive integrodifferential equation is established. The approach used is the Schauder fixed point theorem with the theory of resolvent operators. An example is given to illustrate the results.