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An existence theorem for an implicit integral equation with discontinuous right-hand side

Journal of Inequalities and Applications volume 2006, Article number: 71396 (2006) Cite this article

Abstract

We establish a result concerning the existence of solutions for the following implicit integral equation:, where is not supposed continuous with respect to the second variable.

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Authors and Affiliations

  1. Department of Mathematics, University of Messina, Sant' Agata, Messina, 98166, Italy

    Giovanni Anello

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  1. Giovanni Anello
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Correspondence to Giovanni Anello.

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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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Anello, G. An existence theorem for an implicit integral equation with discontinuous right-hand side. J Inequal Appl 2006, 71396 (2006). https://doi.org/10.1155/JIA/2006/71396

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  • DOI: https://doi.org/10.1155/JIA/2006/71396

Keywords

  • Integral Equation
  • Existence Theorem
  • Implicit Integral Equation