Open Access

On the nonexistence of positive solution of some singular nonlinear integral equations

Journal of Inequalities and Applications20062006:45043

https://doi.org/10.1155/JIA/2006/45043

Received: 15 February 2004

Accepted: 24 August 2004

Published: 3 January 2006

Abstract

We consider the singular nonlinear integral equation for all where is a given positive constant and the given function is continuous and for all with some constants and . We prove in an elementary way that if , , , the above nonlinear integral equation has no positive solution.

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Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University - Ho Chi Minh City

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Copyright

© Hindawi Publishing Corporation. 2006

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.