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Exact number of pseudo-symmetric positive solutions for a p-Laplacian three-point boundary value problems and their applications

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Abstract

In this paper, the exact number of pseudo-symmetric positive solutions is obtained for a class of three-point boundary value problems with one-dimensional p-Laplacian. The interesting point is that the nonlinearity f is general form: f(u)=λ g(u)+h(u). Meanwhile, some properties of the solutions are given in details. The arguments are based upon a quadrature method.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Information Science & Technology University, Beijing, 100192, People’s Republic of China

    Meiqiang Feng

  2. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, People’s Republic of China

    Xuemei Zhang

  3. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Xuemei Zhang & Weigao Ge

Authors
  1. Meiqiang Feng
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  2. Xuemei Zhang
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  3. Weigao Ge
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Corresponding author

Correspondence to Xuemei Zhang.

Additional information

This work is sponsored by the National Natural Science Foundation of China (10671023), the Scientific Creative Platform Foundation of Beijing Municipal Commission of Education (PXM2008-014224-067420) and the Science Foundation of Ministry of Education of Beijing.

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Feng, M., Zhang, X. & Ge, W. Exact number of pseudo-symmetric positive solutions for a p-Laplacian three-point boundary value problems and their applications. J. Appl. Math. Comput. 33, 437–448 (2010). https://doi.org/10.1007/s12190-009-0295-9

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  • DOI: https://doi.org/10.1007/s12190-009-0295-9

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