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Existence of Positive Solutions to Singular ð ‘ -Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity

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  • Qiying Wei
  • You-Hui Su
  • Subei Li
  • Xing-Xue Yan

Abstract

By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an ð ‘š -point singular ð ‘ -Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential ( ð •‹ = â„ ) and difference equations ( ð •‹ = ℤ ), as well as in general time scales setting. As an application, an example is given to illustrate the results.

Suggested Citation

  • Qiying Wei & You-Hui Su & Subei Li & Xing-Xue Yan, 2009. "Existence of Positive Solutions to Singular ð ‘ -Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-21, June.
    • Handle: RePEc:hin:jnlaaa:512402
    DOI: 10.1155/2009/512402
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