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Positivity and hierarchical structure of Green’s functions of 2-point boundary value problems for bending of a beam

  • Yoshinori Kametaka
  • Kazuo Takemura
  • Yoshiaki Suzuki
  • Atsushi Nagai
Article

Abstract

Green’s functions to 2-point simple type self-adjoint boundary value problems for bending of a beam under relatively strong tension on an elastic foundation are studied. We have 9 different Green’s functions. All are positive-valued and have a suitable hierarchical structure.

Key words

beam deflection Green’s function positivity hierarchical structure 

References

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Copyright information

© JJIAM Publishing Committee 2001

Authors and Affiliations

  • Yoshinori Kametaka
    • 1
  • Kazuo Takemura
    • 1
  • Yoshiaki Suzuki
    • 1
  • Atsushi Nagai
    • 1
  1. 1.Graduate School of Mathematical SciencesFaculty of Engineering Science, Osaka UniversityToyonakaJapan

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