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New Retarded Integral Inequalities with Applications

Abstract

Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of certain classes of functional differential equations as well as integral equations. A existence and a uniqueness on the solution of the functional differential equation involving several retarded arguments with the initial condition are also indicated.

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Correspondence to Young-Ho Kim.

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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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Agarwal, R.P., Kim, YH. & Sen, S.K. New Retarded Integral Inequalities with Applications. J Inequal Appl 2008, 908784 (2008). https://doi.org/10.1155/2008/908784

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  • DOI: https://doi.org/10.1155/2008/908784

Keywords

  • Differential Equation
  • Integral Equation
  • Functional Differential Equation
  • Full Article
  • Basic Tool