On certain new nonlinear retarded integral inequalities in two independent variables and applications

被引：13

作者：

Boudeliou, Ammar ^{[1
]}

机构：

[1] Univ Constantine 1, Fac Exact Sci, Dept Math, Constantine 25000, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 335卷

关键词：

Retarded integral inequality; Boundedness; Properties of solutions; Differential-integral equations; EQUATIONS; DELAY;

D O I：

10.1016/j.amc.2018.04.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to establish some new non-linear retarded integral inequalities in two independent variables which can be used as handy tools to study the boundedness of solutions of differential-integral equations with the initial conditions. An application is given to illustrate the usefulness of our results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：103 / 111

页数：9

共 50 条

[31] New retarded integral inequalities with applications
Agarwal, Ravi P.
Kim, Young-Ho
Sen, S. K.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[32] On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations
Abdeldaim, A.
El-Deeb, A. A.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 375 - 380
[33] Nonlinear singular integral inequalities for functions in two and n independent variables
Medved, M
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (03): : 287 - 308
[34] On some new nonlinear retarded integral inequalities with iterated integrals and their applications
Ma, Qing-Hua
Pecaric, Josip
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) : 331 - 353
[35] EXPLICIT BOUNDS ON SOME NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
Ma, Qing-Hua
Pecaric, Josip
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (01): : 287 - 306
[36] On certain new Gronwall-Ou-Iang type integral inequalities in two variables and their applications
Wing-Sum Cheung
Qing-Hua Ma
[J]. Journal of Inequalities and Applications, 2005
[37] On certain new Gronwall-Ou-Iang type integral inequalities in two variables and their applications
Cheung, Wing-Sum
Ma, Qing-Hua
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2005, 2005 (04) : 347 - 361
[38] Generalized integral inequalities for discontinuous functions with two independent variables and their applications
Yuzhen Mi
[J]. Journal of Inequalities and Applications, 2014
[39] Generalized integral inequalities for discontinuous functions with two independent variables and their applications
Mi, Yuzhen
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[40] Some new retarded nonlinear integral inequalities and their applications in differential-integral equations
Wang, Wu-Sheng
Zhou, Xiaoliang
Guo, Zhonghai
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10726 - 10736

← 1 2 3 4 5 →