Generalized retarded nonlinear integral inequalities involving iterated integrals and an application

被引：3
|
作者：
Wang, Wu-Sheng [1 ]
Huang, Deqing [2 ]
Li, Xuefang [2 ]
机构：
[1] Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China
[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117583, Singapore
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
integral inequality; iterated integrals; analysis technique; estimation; GRONWALL-LIKE INEQUALITY; 2; VARIABLES;
D O I：
10.1186/1029-242X-2013-376
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, some new generalized retarded nonlinear integral inequalities, which include nonlinear composite functions of unknown functions between iterated integrals, are discussed. By adopting novel analysis techniques, the upper bounds of the embedded unknown functions are estimated explicitly. The derived results can be applied in the study of differential-integral equations and some practical problems in engineering.
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页数：17
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