Some new integral inequalities of Bellman-Bihari type with delay for discontinuous functions

摘要

In this article we investigate some integral functional inequalities of Bellman-Bihari type for piecewise-continuous functions with some fixed points of discontinuity. We also prove a new analogy and generalization of results which were obtained by Bellman and Bihari to integro-sum inequalities with delay and discontinuities that do not belong to Lipschitz's type. (c) 2005 Elsevier Ltd. All rights reserved.