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Positive solutions of three-point boundary value problems

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Abstract

In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii’s fixed point theorem and the coincidence degree.

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Authors and Affiliations

  1. Fundamental Teaching Department, Chein-Shung Institute of Technology, Taicang, 215400, Jiangsu Provine, P. R. China

    Ye-hong Miao  (缪烨红)

  2. School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, P. R. China

    Ji-hui Zhang  (张吉慧)

Authors
  1. Ye-hong Miao  (缪烨红)
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  2. Ji-hui Zhang  (张吉慧)
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Corresponding author

Correspondence to Ye-hong Miao  (缪烨红).

Additional information

Communicated by DING Xie-ping

Project supported by Foundation of Major Project of Science and Technology of Chinese Education Ministy, NSF of Education Committee of Jiangsu Province

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Miao, Yh., Zhang, Jh. Positive solutions of three-point boundary value problems. Appl. Math. Mech.-Engl. Ed. 29, 817–823 (2008). https://doi.org/10.1007/s10483-008-0613-y

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  • DOI: https://doi.org/10.1007/s10483-008-0613-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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