Gronwall-Bellman type nonlinear delay integral inequalities on time scales

被引：52

作者：

Feng, Qinghua ^{[1
,2
]}

Meng, Fanwei ^{[1
]}

Zheng, Bin ^{[2
]}

机构：

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

[2] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 382卷 / 02期

关键词：

Delay integral inequalities; Time scales; Dynamic equation; Bounded; EXPLICIT BOUNDS;

D O I：

10.1016/j.jmaa.2011.04.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some Gronwall-Bellman type nonlinear delay integral inequalities on time scales are established, which provide a handy tool in deriving boundedness of solutions of certain delay dynamic equations on time scales. Our results generalize some of the main results in Lipovan (2006) [1], Pachpatte (2000) [2], Ferreira and Torres (2009) [3], Zhang and Meng (2008) [4], Cheung and Ren (2006) [5], Kim (2009) [6], and some of our results unify continuous and discrete analysis in the literature. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：772 / 784

页数：13

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