Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications

被引:3
|
作者
Luo, Yaoyao [1 ]
Xu, Run [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
基金
美国国家科学基金会;
关键词
Integral inequalities; Discontinuous functions; Two independent variables; Retarded; Weakly singular; GRONWALL INEQUALITY; BIHARI TYPE;
D O I
10.1186/s13662-019-2288-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates some new retarded weakly singular integral inequalities with discontinuous functions for two independent variables. The inequalities given here can be used in the qualitative analysis of various problems for integral equations and differential equations. Some examples are also given to illustrate the application of the conclusion.
引用
收藏
页数:24
相关论文
共 50 条
  • [41] On some delay nonlinear integral inequalities in two independent variables
    Boudeliou, Ammar
    Khellaf, Hassane
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [42] On some delay nonlinear integral inequalities in two independent variables
    Ammar Boudeliou
    Hassane Khellaf
    Journal of Inequalities and Applications, 2015
  • [43] Weakly singular Gronwall inequalities and applications to fractional differential equations
    Webb, J. R. L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 471 (1-2) : 692 - 711
  • [44] About some new generalizations of Bellman-Bihari results for integro-functional inequalities with discontinuous functions and applications
    Gallo, Angela
    Piccirillo, Anna Maria
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2276 - E2287
  • [45] Some new nonlinear retarded integral inequalities and their applications
    Ma, Qing-Hua
    Pecaric, Josip
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (04): : 617 - 632
  • [46] GENERALIZED WEAKLY SINGULAR INTEGRAL INEQUALITIES WITH APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH RESPECT TO ANOTHER FUNCTION
    Boulares, Salah
    Ben Makhlouf, Abdellatif
    Khellaf, Hassane
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2001 - 2010
  • [47] On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations
    Zheng, Kelong
    Wang, Hong
    Guo, Chunxiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [48] Analysis and Applications of Some New Fractional Integral Inequalities
    Ramzan, Sofia
    Awan, Muhammad Uzair
    Dragomir, Silvestru Sever
    Bin-Mohsin, Bandar
    Noor, Muhammad Aslam
    FRACTAL AND FRACTIONAL, 2023, 7 (11)
  • [49] On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
    Cheng, Kelong
    Guo, Chunxiang
    Zeng, Qingke
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [50] Integral inequalities for some special functions
    Grinshpan, AZ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) : 724 - 735