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Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem

Boundary Value Problems volume 2007, Article number: 079090 (2007) Cite this article

Abstract

We study the second-order-point boundary value problem,,, where, for with. is continuous, symmetric on the interval, and maybe singular at and, is continuous, and is symmetric on the interval for all and satisfies some appropriate growth conditions. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of symmetric positive solutions.

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Affiliations

  1. Department of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, Zhejiang, 310018, China

    Yongping Sun & Xiaoping Zhang

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  1. Yongping Sun
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  2. Xiaoping Zhang
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Correspondence to Yongping Sun.

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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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Sun, Y., Zhang, X. Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem. Bound Value Probl 2007, 079090 (2007). https://doi.org/10.1155/2007/79090

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Keywords

  • Differential Equation
  • Growth Condition
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation