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  • Research Article
  • Open Access

New Retarded Integral Inequalities with Applications

Journal of Inequalities and Applications20082008:908784

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

  • Received: 29 January 2008
  • Accepted: 24 April 2008
  • Published:

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.

Keywords

  • Differential Equation
  • Integral Equation
  • Functional Differential Equation
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Authors’ Affiliations

(1)
Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA
(2)
Department of Applied Mathematics, College of Natural Sciences Changwon National University Changwon, Kyeongnam, 641-773, South Korea

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