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A generalization of the Leggett-Williams fixed point theorem and its application

  • Applied mathematics
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Abstract

A generalization of the Leggett-Williams fixed point theorem is established. As an application, the existence of multiple nondecreasing positive solutions for a class of third-order m-point boundary value problems is obtained.

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Authors and Affiliations

  1. Department of Basic Science, Tangshan College, Tangshan, Hebei, 063000, People’s Republic of China

    Hai-E Zhang

  2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People’s Republic of China

    Jian-Ping Sun

Authors
  1. Hai-E Zhang
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  2. Jian-Ping Sun
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Correspondence to Hai-E Zhang.

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Supported by the National Natural Science Foundation of China (10801068).

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Zhang, HE., Sun, JP. A generalization of the Leggett-Williams fixed point theorem and its application. J. Appl. Math. Comput. 39, 385–399 (2012). https://doi.org/10.1007/s12190-011-0531-y

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  • DOI: https://doi.org/10.1007/s12190-011-0531-y

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