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
来源：
Journal of Inequalities and Applications | / 2009卷
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
  • [1] Gronwall-Bellman-Type Integral Inequalities and Applications to BVPs
    Chen, Chur-Jen
    Cheung, Wing-Sum
    Zhao, Dandan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [2] Some new nonlinear Gronwall-Bellman-Type integral inequalities and applications to BVPs
    Wang W.-S.
    Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 575 - 586
  • [3] MULTIDIMENSIONAL GRONWALL-BELLMAN-TYPE INTEGRAL INEQUALITIES WITH APPLICATIONS
    Agarwal, Ravi P.
    Kim, Young-Ho
    Sen, S. K.
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2009, 47 : 19 - 122
  • [4] Advanced Gronwall-Bellman-Type integral inequalities and their applications
    School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, China
    不详
    不详
    Int. J. Comput. Math. Sci., 2009, 2 (74-79):
  • [5] Generalized Gronwall-Bellman-type discrete inequalities and their applications
    Qinghua Feng
    Fanwei Meng
    Yaoming Zhang
    Journal of Inequalities and Applications, 2011
  • [6] Generalized Gronwall-Bellman-type discrete inequalities and their applications
    Feng, Qinghua
    Meng, Fanwei
    Zhang, Yaoming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [7] GRONWALL-BELLMAN-TYPE INEQUALITIES FOR SYSTEMS
    CONLAN, J
    WANG, CL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (02) : 622 - 630
  • [8] Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications
    Zheng, Bin
    Feng, Qinghua
    Meng, Fanwei
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [9] SOME NEW NONLINEAR GRONWALL-BELLMAN-TYPE DISCRETE INEQUALITIES AND THEIR APPLICATIONS
    Cuihong Liu
    Run Xu
    Annals of Applied Mathematics, 2015, 31 (04) : 393 - 410
  • [10] Gronwall, Bellman and Pachpatte type integral inequalities with applications
    Kim, Young-Ho
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2641 - E2656
12345