Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay

被引：51
|
作者：
Li, Lianzhong [1 ,2 ]
Meng, Fanwei [2 ]
Ju, Peijun [1 ]
机构：
[1] Taishan Univ, Sch Math & Syst Sci, Tai An 271021, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 377卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Integral inequality; Integral equation; Differential equation; Integro-differential equation; Uniform stability; EPIDEMIC MODELS; SYSTEMS;
D O I：
10.1016/j.jmaa.2010.12.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we generalize some integral inequalities to more general situations, and the inequalities of Pachpatte type are corollaries of our's. We establish bounds on the solutions, and we show the usefulness of our results in investigating the asymptotic behavior and the stability on the solutions of integral equations, differential equations and integro-differential equations with time delay. (c) 2010 Elsevier Inc. All rights reserved.
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页码：853 / 862
页数：10
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