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Positive Solutions of Fourth Order Thomas-Fermi Type Differential Equations in the Framework of Regular Variation

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Abstract

The fourth order nonlinear differential equations

(A)

with regularly varying coefficient q(t) are studied in the framework of regular variation. It is shown that thorough and complete information can be acquired about the existence of all possible regularly varying solutions of (A) and their accurate asymptotic behavior at infinity.

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Acknowledgements

Second author is supported by the Research project OI-174007 of the Ministry of Education and Science of Republic of Serbia.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Takaŝi Kusano

  2. Faculty of Science and Mathematics, Department of Mathematics, University of Niš, Višegradska 33, 18000, Niš, Serbia

    Jelena Manojlović

Authors
  1. Takaŝi Kusano
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  2. Jelena Manojlović
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Correspondence to Jelena Manojlović.

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Kusano, T., Manojlović, J. Positive Solutions of Fourth Order Thomas-Fermi Type Differential Equations in the Framework of Regular Variation. Acta Appl Math 121, 81–103 (2012). https://doi.org/10.1007/s10440-012-9691-5

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  • DOI: https://doi.org/10.1007/s10440-012-9691-5

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