Summary: Let be a complex Banach space and let be an open interval. For given functions and , we will solve the differential inequality for the class of continuously differentiable functions under some integrability conditions.
Part I, cf. Appl. Math. Lett. 17, No. 10, 1135–1140 (2004; Zbl 1061.34039); Part III, cf. J. Math. Anal. Appl. 311, No. 1, 139–146 (2005; Zbl 1087.34534).