About some new integral inequalities of Wendroff type for discontinuous functions

被引：15

作者：

Borysenko, Sergiy

Iovane, Gerardo

机构：

[1] Univ Salerno, Dept Engn Informat & Appl Math, Salerno 84084, Italy

[2] Natl Tech Univ Ukraine, Dept Differential Equat, UA-03056 Kiev, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 10期

关键词：

integral inequalities; discontinuous functions; integro-sum inequalities;

D O I：

10.1016/j.na.2006.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain some new nonlinear integral inequalities for discontinuous functions of two independent variables (Wendroff type) by including also inequalities with delay. We deduce new generalizations of earlier results given by R.P. Agarwal, R. Bellman, I. Bihari, B.K. Bondge, V. Lakshmikantham, S. Leela, B.G. Pachpatte for continuous and discrete functions. Furthermore, generalizations ofsome results for integro-sum inequalities are obtained as well. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2190 / 2203

页数：14

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