System of nonlinear impulsive Volterra integral equations in Banach spaces and applications (Q1768184)

The system of two nonlinear impulsive Volterra integral equations in Banach space is studied. Under the assumptions that the integrated functions are uniformly continuous, sublinear and satisfy the Lipschitz type condition with respect to the Kuratowki measure of noncompactness, it is proved an existence theorem for the mentioned system. An application to the infinite system of integral equations is indicated.