Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

被引：8

作者：

Feng, Qinghua ^{[1
,2
]}

Meng, Fanwei ^{[1
]}

Zhang, Yaoming ^{[2
]}

Zheng, Bin ^{[2
]}

Zhou, Jinchuan ^{[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 INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

delay integral inequality; time scales; dynamic equation; bound; BOUNDS;

D O I：

10.1186/1029-242X-2011-29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales. The established results generalize some of the results in Lipovan [J. Math. Anal. Appl. 322, 349-358 (2006)], Pachpatte [J. Math. Anal. Appl. 251, 736-751 (2000)], Li [Comput. Math. Appl. 59, 1929-1936 (2010)], and Sun [J. Math. Anal. Appl. 301, 265-275 (2005)].

引用

页数：14

共 19 条

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