Bounds for Certain Delay Integral Inequalities on Time Scales

Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as han...

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Bibliographic Details
Main Author: Wei Nian Li
Format: Article
Language:English
Published: SpringerOpen 2008-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/831817
Description
Summary:Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. 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.
ISSN:1025-5834
1029-242X