Gronwall-Bellman-Type Integral Inequalities and Applications to BVPs

被引:0
|
作者
Chur-Jen Chen
Wing-Sum Cheung
Dandan Zhao
机构
[1] Tunghai University,Department of Mathematics
关键词
Differential Equation; Integral Equation; Boundary Value Problem; Compact Subset; Global Existence;
D O I
暂无
中图分类号
学科分类号
摘要
We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of differential equations. Example of applying these inequalities to derive the properties of BVPs is also given.
引用
收藏
相关论文
共 50 条
  • [31] On some new integral inequalities of Gronwall-Bellman-Pachpatte type
    Abdeldaim, A.
    Yakout, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) : 7887 - 7899
  • [32] SOME NEW NONLINEAR POWERED GRONWALL-BELLMAN TYPE RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Li, Zizun
    Wang, Wu-Sheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (02): : 553 - 564
  • [33] Gronwall-bellman type inequalities on time scales and their applications
    Feng, Qinghua
    Meng, Fanwei
    WSEAS Transactions on Mathematics, 2011, 10 (07) : 239 - 247
  • [34] On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type
    El-Owaidy, Hassan Mostafa
    Ragab, Abdelwahab Abbas
    Eldeeb, Ahmed Abdel-Moneim
    Abuelela, Waleed Mostafa Kamal
    KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (04): : 555 - 575
  • [35] Some New Gronwall-Bellman-Type Inequalities Based on the Modified Riemann-Liouville Fractional Derivative
    Zheng, Bin
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [36] Extensions of Gronwall-Bellman type integral inequalities with two independent variables
    Xie, Yihuai
    Li, Yueyang
    Liu, Zhenhai
    OPEN MATHEMATICS, 2022, 20 (01): : 431 - 446
  • [37] On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications
    Liu, Xiaohong
    Zhang, Lihong
    Agarwal, Praveen
    Wang, Guotao
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (01): : 1 - 10
  • [38] Gronwall-Bellman type nonlinear delay integral inequalities on time scales
    Feng, Qinghua
    Meng, Fanwei
    Zheng, Bin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (02) : 772 - 784
  • [39] SOME GENERALIZED GRONWALL-BELLMAN TYPE DIFFERENCE INEQUALITIES AND APPLICATIONS
    Li, Zizun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 173 - 200
  • [40] Some new Gronwall-Bellman-Bihari type integral inequalities with delay
    Ma Q.-H.
    Yang E.-H.
    Periodica Mathematica Hungarica, 2002, 44 (2) : 225 - 238