Solutions of Sakaki-Kakei equations of type 3, 5 and 6

• Kondo Koichi

  Graduate School of Engineering, Doshisha University

Abstract

The purpose of this paper is to obtain general solutions of Sakaki-Kakei equations of type 3, 5 and 6. We first obtain general solution of two dimensional discrete dynamical system associated with arithmetic and harmonic mean through a conjugacy of the iteration map. We next show that the arithmetic and harmonic mean system is semiconjugate to Sakaki-Kakei equations of type 3, 5 and 6 under some conditions. From those results, we obtain their general solutions. We finally clarify behaviors of the solutions.

Journal

• JSIAM Letters

  JSIAM Letters 2 (0), 73-76, 2010

  The Japan Society for Industrial and Applied Mathematics

Keywords

• Sakaki-Kakei equation
• arithmetic and harmonic mean
• conjugacy of map

Details

• CRID: 1390001205301342208
• NII Article ID: 130000303924
• DOI: 10.14495/jsiaml.2.73
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/2/0/2_0_73/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed