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Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions

Boundary Value Problems volume 2005, Article number: 756805 (2005) Cite this article

Abstract

We study the uniqueness of positive solutions of the boundary value problem,,,, where, and, with on and satisfy suitable conditions. The proof of our main result is based upon the shooting method and the Sturm comparison theorem.

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Authors and Affiliations

  1. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China

    Ruyun Ma

  2. Physical Software & Engineering, Lanzhou Jiaotong University, Gansu, Lanzhou, 730070, China

    Yulian An

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  1. Ruyun Ma
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  2. Yulian An
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Correspondence to Ruyun Ma.

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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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Ma, R., An, Y. Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions. Bound Value Probl 2005, 756805 (2005). https://doi.org/10.1155/BVP.2005.289

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  • DOI: https://doi.org/10.1155/BVP.2005.289