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Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems

Boundary Value Problems volume 2010, Article number: 626054 (2010) Cite this article

Abstract

This paper is devoted to study the existence of periodic solutions of the second-order equation , where is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).

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

    Ruyun Ma, Chenghua Gao & Ruipeng Chen

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  1. Ruyun Ma
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  2. Chenghua Gao
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  3. Ruipeng Chen
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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., Gao, C. & Chen, R. Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems. Bound Value Probl 2010, 626054 (2010). https://doi.org/10.1155/2010/626054

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  • DOI: https://doi.org/10.1155/2010/626054

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