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Multiple positive solutions to multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects

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Abstract

In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.

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Authors and Affiliations

  1. Chenzhou, China

    Yuansheng Tian & Anping Chen

  2. Beijing, China

    Weigao Ge

  3. Department of Mathematics, Xiangnan University, Chenzhou, Hunan, 423000, P.R.China

    Yuansheng Tian & Anping Chen

  4. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R.China

    Weigao Ge

Authors
  1. Yuansheng Tian
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  2. Anping Chen
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  3. Weigao Ge
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Corresponding author

Correspondence to Yuansheng Tian.

Additional information

This work was supported by the Natural Science Foundation of Hunan Province (10JJ3096), was also supported by the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province and the Construct Program of the Key Discipline in Hunan Province.

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Tian, Y., Chen, A. & Ge, W. Multiple positive solutions to multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects. Czech Math J 61, 127–144 (2011). https://doi.org/10.1007/s10587-011-0002-5

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  • DOI: https://doi.org/10.1007/s10587-011-0002-5

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