摘要
In this paper, we investigate some delay Cronwall type inequalities on time scales by using Cron- wall＇s inequality. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain classes of delay dynamic equations on time scales.
In this paper, we investigate some delay Cronwall type inequalities on time scales by using Cron- wall＇s inequality. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain classes of delay dynamic equations on time scales.
基金
Supported by the National Natural Science Foundation of China(No.10971018)
the Natural Science Foundation of Shandong Province(No.Y2009A06)
China Postdoctoral Science Foundation Funded Project(No.20080440633)
Shanghai Postdoctoral Scientific Program(No.09R21415200)
the Project of Science and Technology of the Education Department of Shandong Province(No.J08LI52)
the Doctoral Foundation of Binzhou University(No.2006Y01)
