A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications

被引：31

作者：

Liu, Haidong ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

time scale; retarded integral inequality; Volterra-Fredholm type; NONLINEAR DYNAMIC INEQUALITIES; EQUATIONS; 2ND-ORDER;

D O I：

10.1186/s13660-017-1573-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study some new retarded Volterra-Fredholm type integral inequalities on time scales, which provide explicit bounds on unknown functions. These inequalities generalize and extend some known inequalities and can be used as tools in the qualitative theory of certain classes of retarded dynamic equations on time scales. Some applications are also presented to illustrate the usefulness of our results.

引用

页数：15

共 50 条

[41] SOME EXTENDED INTEGRAL INEQUALITIES ON TIME SCALES
Ou, Boqun
JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (04): : 1013 - 1027
[42] SOME NEW INTEGRAL INEQUALITIES ON TIME SCALES
Sun, Yuangong
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 331 - 341
[43] Some delay integral inequalities on time scales
Li, Wei Nian
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 1929 - 1936
[44] On certain new nonlinear retarded integral inequalities in two independent variables and applications
Boudeliou, Ammar
APPLIED MATHEMATICS AND COMPUTATION, 2018, 335 : 103 - 111
[45] A generalization of retarded integral inequalities in two independent variables and their applications
Tian, Yazhou
Fan, Min
Meng, Fanwei
APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 239 - 248
[46] New Inequalities of Opial's Type on Time Scales and Some of Their Applications
Saker, Samir H.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[47] 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
[48] Landau type inequalities on time scales
Anastassiou, George A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (06) : 1130 - 1138
[49] A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales
Liu, Haidong
Li, Cuiyuan
Shen, Feichao
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[50] Ostrowski Type Inequalities on Time Scales
Dinu, Cristian
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2007, 34 : 43 - 58

← 1 2 3 4 5 →