Linear Integral Inequalities Involving Maxima of the Unknown Scalar Functions

被引：7

作者：

Hristova, Snezhana G. ^{[1
]}

Stefanova, Kremena V. ^{[1
]}

机构：

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

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2010年 / 53卷 / 03期

关键词：

Integral inequalities; Maxima; Scalar functions of one variable; Differential equations with "maxima; 2; VARIABLES;

D O I：

10.1619/fesi.53.381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some 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 conies from their wide applications in qualitative investigations of differential equations with "maxima" and is illustrated by some direct applications.

引用

页码：381 / 394

页数：14

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