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Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line

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Abstract

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Guangdong University of Business Studies, Guangzhou, 510320, P.R.China

    Yuji Liu

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore

    Patricia J. Y. Wong

Authors
  1. Yuji Liu
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  2. Patricia J. Y. Wong
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Correspondence to Yuji Liu.

Additional information

Supported by the Guangdong Higher Education Foundation for High-level talents and the Natural Science Foundation of Guangdong Province (No. S2011010001900)

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Liu, Y., Wong, P.J.Y. Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line. Appl Math 58, 179–204 (2013). https://doi.org/10.1007/s10492-013-0009-3

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  • DOI: https://doi.org/10.1007/s10492-013-0009-3

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