Some new nonlinear Volterra-Fredholm-type discrete inequalities and their applications

被引：17

作者：

Ma, Qing-Hua ^{[1
]}

机构：

[1] Guangdong Univ Foreign Studies, Fac Informat Sci & Technol, Guangzhou 510420, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 02期

关键词：

nonlinear discrete inequalities; Volterra-Fredholm-type; Gronwall-Bellman-Ou-Iang-type; explicit bounds; sum-difference equations;

D O I：

10.1016/j.cam.2007.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new explicit bounds on solutions to a class of new nonlinear Volterra-Fredholm-type discrete inequalities are established, which can be used as effective tools in the study of certain sum-difference equations. Application examples are also indicated. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：451 / 466

页数：16

共 50 条

[31] Estimates on some power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales
Wang, Jiangfeng
Meng, Fanwei
Gu, Juan
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[32] Some new Gronwall-Bellman type and Volterra-Fredholm type fractional integral inequalities and their applications in fractional differential equations
Zheng, Bin (zhengbin2601@126.com), 2018, International Association of Engineers (48)
[33] On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations
Kelong Zheng
Hong Wang
Chunxiang Guo
Advances in Difference Equations, 2013
[34] On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations
Zheng, Kelong
Wang, Hong
Guo, Chunxiang
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[35] On some Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities
Mohamed Doubbi Bounoua
Jianhua Tang
Journal of Inequalities and Applications, 2022
[36] Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces
Chang, Y. -K.
Chalishajar, D. N.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (05): : 499 - 507
[37] Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space
Chalishajar, D. N.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (01): : 12 - 21
[38] A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications
Haidong Liu
Journal of Inequalities and Applications, 2017
[39] On some Volterra-Fredholm and Hermite-Hadamard-type fractional integral inequalities
Bounoua, Mohamed Doubbi
Tang, Jianhua
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[40] A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications
Liu, Haidong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,

← 1 2 3 4 5 →