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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

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

页数：24

共 50 条

[1] Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications
Yaoyao Luo
Run Xu
Advances in Difference Equations, 2019
[2] Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
Hong Wang
Kelong Zheng
Journal of Inequalities and Applications, 2010
[3] Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
Wang, Hong
Zheng, Kelong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[4] Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
Zizun Li
Wu-Sheng Wang
Journal of Inequalities and Applications, 2017
[5] Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
Li, Zizun
Wang, Wu-Sheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[6] Some weakly singular Volterra integral inequalities with maxima in two variables
Sun, Yining
Xu, Run
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[7] Some weakly singular Volterra integral inequalities with maxima in two variables
Yining Sun
Run Xu
Journal of Inequalities and Applications, 2023
[8] SOME NEW NONLINEAR WEAKLY SINGULAR INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
Xu, Run
JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (04): : 1007 - 1018
[9] New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
Shao, Jing
JOURNAL OF APPLIED MATHEMATICS, 2014,
[10] Generalized integral inequalities for discontinuous functions with two independent variables and their applications
Yuzhen Mi
Journal of Inequalities and Applications, 2014

← 1 2 3 4 5 →