Further Nonlinear Retarded Integral Inequalities for Gronwall–Bellman Type and Their Applications

被引：0
作者：
Abdul Shakoor
Ilyas Ali
Muhammad Azam
Abdur Rehman
Muhammad Zahid Iqbal
机构：
[1] Khwaja Fareed University of Engineering and Information Technology,Department of Mathematics
[2] University of Engineering and Technology Lahore,Basic Sciences and Humanities Department
[3] Beijing Institute of Technology,School of Mathematics and Statistics
[4] National College of Business Administration and Economics,undefined
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2019年 / 43卷
关键词：
Integral inequality; Retarded integral inequality; Retarded integral and differential equations; 39B72; 26D10; 34A34;
D O I：
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中图分类号：
学科分类号：
摘要：
In this article, we will derive several new nonlinear retarded integral inequalities for Gronwall–Bellman type and then apply them as handy tools to examine explicit bounds for solutions of initial value problems, and will also use to evaluate the qualitative as well as the quantitative behavior of solutions of nonlinear retarded differential and integral equations. These inequalities extend some present inequalities to the current literature. An application is also given to demonstrate the strength of our results.
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页码：2559 / 2568
页数：9
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