On some generalized retarded integral inequalities and the qualitative analysis of integral equations

摘要

In this paper we obtain estimates on solutions of some retarded integral inequalities which include retarded Gronwall-like inequalities and retarded Volterra–Fredholm type inequalities. Some particular cases with weakly singular kernels are discussed. We also apply our results to investigate the boundedness, uniqueness, and continuous dependence of solutions of some integral equations.