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Positive solutions for a multi-parameter system of second-order ordinary differential equations

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Abstract

In this paper, we establish the product formula for the fixed point index on product cone, and then, as applications, consider the existence, nonexistence and multiplicity of positive solutions for a second-order ordinary differential system with parameters. The discussion is based on the product formula and the fundamental properties of the fixed point index.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Audit University, Nanjing, 210029, China

    XiYou Cheng

  2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    XiYou Cheng & ZhiTao Zhang

Authors
  1. XiYou Cheng
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  2. ZhiTao Zhang
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Correspondence to XiYou Cheng.

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Cheng, X., Zhang, Z. Positive solutions for a multi-parameter system of second-order ordinary differential equations. Sci. China Math. 54, 959–972 (2011). https://doi.org/10.1007/s11425-011-4213-x

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  • DOI: https://doi.org/10.1007/s11425-011-4213-x

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