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Positive Solutions for Nonlinearth-Order Singular Nonlocal Boundary Value Problems

Boundary Value Problems volume 2007, Article number: 074517 (2007) Cite this article

Abstract

We study the existence and multiplicity of positive solutions for a class ofth-order singular nonlocal boundary value problems,, where. The singularity may appear at and/or. The Krasnosel'skii-Guo theorem on cone expansion and compression is used in this study. The main results improve and generalize the existing results.

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Authors and Affiliations

  1. Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, China

    Xin'an Hao & Lishan Liu

  2. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, 6845, Australia

    Lishan Liu & Yonghong Wu

Authors
  1. Xin'an Hao
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  2. Lishan Liu
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  3. Yonghong Wu
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Correspondence to Xin'an Hao.

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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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Hao, X., Liu, L. & Wu, Y. Positive Solutions for Nonlinearth-Order Singular Nonlocal Boundary Value Problems. Bound Value Probl 2007, 074517 (2007). https://doi.org/10.1155/2007/74517

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  • DOI: https://doi.org/10.1155/2007/74517

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Nonlocal Boundary