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Positive solutions for systems of a nonlinear fourth-order singular semipositone Sturm-Liouville boundary value problem

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Abstract

This paper concerns the existence of positive solutions for systems of a fourth-order singular semipositone Sturm-Liouville boundary value problem. By applying the fixed point index theorem, some sufficient conditions for positive solutions are established. An example is given to demonstrate the application of our main results.

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Acknowledgement

The authors would like to thank the referee for his or her very helpful suggestions on the original manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, Hebei, P.R. China

    Xingfang Feng, Hanying Feng, Huixuan Tan & Yatao Du

Authors
  1. Xingfang Feng
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  2. Hanying Feng
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  3. Huixuan Tan
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  4. Yatao Du
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Corresponding author

Correspondence to Xingfang Feng.

Additional information

Supported by NNSF of China (10971045) and HEBNSF of China (A2012506010).

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Feng, X., Feng, H., Tan, H. et al. Positive solutions for systems of a nonlinear fourth-order singular semipositone Sturm-Liouville boundary value problem. J. Appl. Math. Comput. 41, 269–282 (2013). https://doi.org/10.1007/s12190-012-0600-x

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  • DOI: https://doi.org/10.1007/s12190-012-0600-x

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