Solvability of nonlinear impulsive Volterra integral inclusions and functional differential inclusions

This paper presents sufficient conditions for the existence of solutions to nonlinear impulsive Volterra integral inclusions and initial value problems for second order impulsive functional differential inclusions in Banach spaces. Our results are obtained via a fixed point theorem due to Hong [J. Math. Anal. Appl. 282 (2003) 151–162] for discontinuous multivalued increasing operators.  2004 Elsevier Inc. All rights reserved.