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Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a -Laplacian Operator on Time Scales

Abstract

We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.

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Correspondence to Shihuang Hong.

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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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Hong, S. Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a -Laplacian Operator on Time Scales. Bound Value Probl 2009, 103276 (2009). https://doi.org/10.1155/2009/103276

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  • DOI: https://doi.org/10.1155/2009/103276

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
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