NONLINEAR RETARDED INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN TYPE AND APPLICATIONS

被引：11
|
作者：
Abdeldaim, A. [1 ,2 ]
机构：
[1] Port Said Univ, Fac Sci, Dept Math & Comp Sciense, Port Said, Egypt
[2] Shaqra Univ, Fac Sci & Humanities, Dept Math, Dawadmi, Saudi Arabia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 01期
关键词：
Integral inequality; retarded integral inequality; retarded integral and differential equations; EXPLICIT BOUNDS;
D O I：
10.7153/jmi-10-24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to establish some new nonlinear retarded integral inequalities of Gronwall-Bellman type. More accurately we extend certain results which have been proved in El-Owaidy et. al, [12] and Abdeldaim and Yakout [2] to some nonlinear retarded integral inequalities. We also give some applications to estimate the solutions of some nonlinear retarded differential equations to illustrate the effectiveness of some from our results.
引用
收藏
页码：285 / 299
页数：15
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