NONLINEAR RETARDED INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS

被引：16

作者：

Liu, Haidong ^{[1
]}

Meng, Fanwei ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 01期

关键词：

Retarded integral inequality; time scales; dynamic equation; bounds; DYNAMIC EQUATIONS; DIFFERENTIAL-EQUATIONS; 2ND-ORDER;

D O I：

10.7153/jmi-2018-12-17

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new nonlinear retarded integral inequalities on time scales are established, which provide a handy tool in the study of some retarded integral equations and dynamic equations on time scales. The results unify and extend some continuous inequalities and their corresponding discrete analogues. Some applications are also presented to illustrate the usefulness of some of our results.

引用

页码：219 / 234

页数：16

共 32 条

[11] Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales [J].

Erbe, Lynn ;

Jia, Baoguo ;

Peterson, Allan .

MATHEMATISCHE NACHRICHTEN, 2011, 284 (13) :1658-1668

[12] On the asymptotic behavior of solutions of Emden-Fowler equations on time scales [J].

Erbe, Lynn ;

Baoguo, Jia ;

Peterson, Allan .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2012, 191 (02) :205-217

[13] Measure functional differential equations and functional dynamic equations on time scales [J].

Federson, Marcia ;

Mesquita, Jaqueline G. ;

Slavik, Antonin .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (06) :3816-3847

[14] Some Delay Integral Inequalities on Time Scales and Their Applications in the Theory of Dynamic Equations [J].

Feng, Qinghua ;

Meng, Fanwei ;

Zhang, Yaoming ;

Zhou, Jinchuan ;

Zheng, Bin .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[15] 1 Generalized Gronwall-Bellman-type delay dynamic inequalities on time scales and their applications [J].

Feng, Qinghua ;

Zheng, Bin .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (15) :7880-7892

[16] Gronwall-Bellman type nonlinear delay integral inequalities on time scales [J].

Feng, Qinghua ;

Meng, Fanwei ;

Zheng, Bin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (02) :772-784

[17] Some new nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales [J].

Gu, Juan ;

Meng, Fanwei .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 :235-242

[18]

Hilger S., 1990, Result math, V18, P18, DOI [10.1007/BF03323153, DOI 10.1007/BF03323153]

[19]

Keller S., 1999, THESIS

[20] Some delay integral inequalities on time scales [J].

Li, Wei Nian .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) :1929-1936

← 1 2 3 4 →