On generalizations of certain nonlinear integral inequalities and their applications

被引：1
|
作者：
Latpate, S. G. [1 ]
机构：
[1] Nowrosjee Wadia Coll, Dept Math, Pune 411001, Maharashtra, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 03期
关键词：
Integral inequality; differential and integral equations; explicit bound;
D O I：
10.1142/S1793557118500328
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to generalize some integral inequalities of Gronwall-Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett. 23 (2015) 470-475] and also establish some new forms.
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页数：12
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