ON RETARDED NONLINEAR INTEGRAL INEQUALITIES OF GRONWALL AND APPLICATIONS

被引:7
|
作者
Abdeldaim, A. [1 ,2 ]
El-Deeb, A. A. [3 ]
Ahmed, Reda Gamal [3 ]
机构
[1] Shaqra Univ, Community Coll, Al Dawadmi 11911, Saudi Arabia
[2] Port Said Univ, Math Dept, Fac Sci, Port Said, Egypt
[3] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 04期
关键词
Integral inequality; analysis technique; estimation; retarded integral and differential equation;
D O I
10.7153/jmi-2019-13-73
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By some new analysis techniques, we generalize the results presented by Pachpatte in [8] to nonlinear retarded inequalities, and also investigate some new forms. Some examples are presented to illustrate our results at the end.
引用
收藏
页码:1023 / 1038
页数:16
相关论文
共 50 条
  • [1] Further Nonlinear Retarded Integral Inequalities for Gronwall–Bellman Type and Their Applications
    Abdul Shakoor
    Ilyas Ali
    Muhammad Azam
    Abdur Rehman
    Muhammad Zahid Iqbal
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 2559 - 2568
  • [2] NONLINEAR RETARDED INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN TYPE AND APPLICATIONS
    Abdeldaim, A.
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01): : 285 - 299
  • [3] Further Nonlinear Retarded Integral Inequalities for Gronwall-Bellman Type and Their Applications
    Shakoor, Abdul
    Ali, Ilyas
    Azam, Muhammad
    Rehman, Abdur
    Iqbal, Muhammad Zahid
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2559 - 2568
  • [4] RETARDED NONLINEAR INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-PACHPATTE TYPE AND THEIR APPLICATIONS
    Shakoor, Abdul
    Samar, Mahvish
    Wali, Samad
    Saleem, Muzammil
    [J]. HONAM MATHEMATICAL JOURNAL, 2023, 45 (01): : 54 - 70
  • [5] Some nonlinear Gronwall-Bellman type retarded integral inequalities with power and their applications
    Li, Zizun
    Wang, Wu-Sheng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 347 : 839 - 852
  • [6] New retarded nonlinear integral inequalities of Gronwall-Bellman-Pachpatte type and their applications
    Kale, Nagesh
    [J]. JOURNAL OF APPLIED ANALYSIS, 2024,
  • [7] SOME NEW NONLINEAR POWERED GRONWALL-BELLMAN TYPE RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Li, Zizun
    Wang, Wu-Sheng
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (02): : 553 - 564
  • [8] Some new nonlinear retarded integral inequalities and their applications
    Ma, Qing-Hua
    Pecaric, Josip
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (04): : 617 - 632
  • [9] Nonlinear Retarded Integral Inequalities with Two Variables and Applications
    Wu-Sheng Wang
    Zizun Li
    Yong Li
    Yong Huang
    [J]. Journal of Inequalities and Applications, 2010
  • [10] Some generalized nonlinear retarded integral inequalities with applications
    Wu-Sheng Wang
    [J]. Journal of Inequalities and Applications, 2012