Complete continuity of some nonlinear Volterra operator in Banach spaces (Q1381118)

Given a family \(K(t)\) \((a\leq t\leq b)\) of compact or condensing nonlinear operators in a Banach space, the author studies the compactness properties of the abstract Volterra operator \[ Hx(t)= \int^t_a K(\tau)x(\tau)d\tau. \] {}.