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

Boundary Value Problems volume 2007, Article number: 079090 (2007) | Download Citation

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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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Correspondence to Yongping Sun.

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Keywords

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