On Some Vector-Valued Inequalities of Gronwall Type

被引：0
作者：
Luor, Dah-Chin [1 ]
机构：
[1] I Shou Univ, Dept Appl Math, Kaohsiung 84001, Taiwan
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
RETARDED INTEGRAL-INEQUALITIES; DELAY;
D O I：
10.1155/2014/973586
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real-valued Gronwall-type inequalities. We also show that the classical Gronwall-Bellman-Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.
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