NONLINEAR INTEGRAL INEQUALITIES INVOLVING MAXIMA OF THE UNKNOWN SCALAR FUNCTIONS

被引：10

作者：

Bohner, M. ^{[1
]}

Hristova, S. ^{[2
]}

Stefanova, K. ^{[2
]}

机构：

[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[2] Paisij Hilendarski Univ Plovdiv, Dept Appl Math & Modeling, BG-4000 Plovdiv, Bulgaria

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 04期

关键词：

Integral inequalities; maxima; scalar functions of one variable; differential equations with "maxima;

D O I：

10.7153/mia-15-69

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with some nonlinear integral inequalities that involve the maximum of the unknown scalar function of one variable. The considered inequalities are generalizations of the classical integral inequality of Gronwall-Bellman. The importance of these integral inequalities is due to their wide applications in qualitative investigations of differential equations with "maxima", and it is illustrated by some direct applications.

引用

页码：811 / 825

页数：15

共 15 条

[1] Generalization of a retarded Gronwall-like inequality and its applications [J].