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Positive solutions of the system for nth-order singular nonlocal boundary value problems

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Abstract

The paper deals with the existence and multiplicity of positive solutions to systems of nth-order singular nonlocal boundary value problems. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are given.

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Authors and Affiliations

  1. Department of Mathematics & Physics, Anhui University of Architecture, Hefei, 230601, People’s Republic of China

    Shengli Xie

  2. School of Mathematics Science, Xuzhou Normal University, Xuzhou, 221116, People’s Republic of China

    Jiang Zhu

Authors
  1. Shengli Xie
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  2. Jiang Zhu
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Corresponding author

Correspondence to Jiang Zhu.

Additional information

This work is supported by NSF of Anhui University of Architecture 20071201, and NNSF 10771212, China.

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Xie, S., Zhu, J. Positive solutions of the system for nth-order singular nonlocal boundary value problems. J. Appl. Math. Comput. 37, 119–132 (2011). https://doi.org/10.1007/s12190-010-0424-5

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  • DOI: https://doi.org/10.1007/s12190-010-0424-5

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