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Bounds for Certain Delay Integral Inequalities on Time Scales

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.

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Correspondence to Wei Nian Li.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Nian Li, W. Bounds for Certain Delay Integral Inequalities on Time Scales. J Inequal Appl 2008, 831817 (2008). https://doi.org/10.1155/2008/831817

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Keywords

  • Dynamic Equation
  • Full Article
  • Comparison Theorem
  • Integral Inequality
  • Discrete Analogue