Bounds for Certain Delay Integral Inequalities on Time Scales

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Research Article
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Abstract

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.

Keywords

Dynamic Equation Full Article Comparison Theorem Integral Inequality Discrete Analogue 

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Copyright information

© Wei Nian Li. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Department of Applied MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Department of MathematicsBinzhou UniversityShandongChina

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