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

Journal of inequalities and applications

Qinghua Feng¹ 

关键词: delay integral inequality;    time scales;    dynamic equation;    bound;   

DOI  :  10.1186/1029-242X-2011-29

学科分类：数学（综合）

来源: SpringerOpen

【 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)]. MSC 2010: 26E70; 26D15; 26D10.

【 授权许可】

CC BY