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Positive Solution to a Singular -Laplacian BVP with Sign-Changing Nonlinearity Involving Derivative on Time Scales

Advances in Difference Equations volume 2009, Article number: 623932 (2009) Cite this article

Abstract

Let be a time scale such that . By using a monotone iterative method, we present some existence criteria for positive solution of a multiple point general Dirichlet-Robin BVP on time scales with the singular sign-changing nonlinearity. These results are even new for the corresponding differential and difference equation as well as in general time scales setting. As an application, an example is given to illustrate the results. The interesting point here is that the sign-changing nonlinear term is involved with the first-order derivative explicitly, and the singularity may occur at , , and .

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Authors and Affiliations

  1. School of Mathematics and Physics, Xuzhou Institute of Technology, Xuzhou, Jiangsu, 221008, China

    You-Hui Su & Subei Li

  2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, China

    Can-Yun Huang

Authors
  1. You-Hui Su
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  2. Subei Li
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  3. Can-Yun Huang
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Correspondence to You-Hui Su.

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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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Su, YH., Li, S. & Huang, CY. Positive Solution to a Singular -Laplacian BVP with Sign-Changing Nonlinearity Involving Derivative on Time Scales. Adv Differ Equ 2009, 623932 (2009). https://doi.org/10.1155/2009/623932

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  • DOI: https://doi.org/10.1155/2009/623932

Keywords

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