Abstract:In this paper we examine nonlinear integrodifferential inclusions defined in a separable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.
Keywords: sublinear measure of noncompactness, orientor, field, selector, upper semicontinuity, lower semicontinuity, graph measurability, weak measurability
AMS Subject Classification: 34G05, 45G05