A NEW NONLINEAR INTEGRAL INEQUALITY OF WENDROFF TYPE WITH CONTINUOUS AND WEAKLY SINGULAR KERNEL AND ITS APPLICATION

被引:5
作者
Lakhal, Fahim [1 ]
机构
[1] 8 Mai 1945 Univ, Dept Math, Guelma 24000, Algeria
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2012年 / 6卷 / 03期
关键词
Wendroff inequalities; singular integral inequalities; nonlinear differential equations; EXPLICIT BOUNDS;
D O I
10.7153/jmi-06-36
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main objective of this paper is to establish some new explicit bounds for nonlinear integral inequalities of Wendroff type with continuous and weakly singular kernel, which generalized some known inequalities for functions in two variables and can be furnished a handy tool for the study of qualitative as well as quantitative properties of solutions of nonlinear differential equations. Some applications are also given to illustrate the usefulness of our results.
引用
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页码:367 / 379
页数:13
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