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A NONEXISTENCE THEOREM FOR POSITIVE SOLUTION OF THE NONLINEAR INTEGRAL EQUATION

Dinh Van Ruy 1
Volume & Issue: Vol. 5 No. 12 (2002) | Page No.: 5-10 | DOI: 10.32508/stdj.v5i11.3458
Published: 2002-12-31

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

We consider the nonlinear integral equation , (1) where σ is a given positive constant and the given function is continuous and with some constants and M >0. By proving elementarily, we prove that if the nonlinear integral equation (1) has no positive solution.

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