Solutions of Sakaki-Kakei equations of type 3, 5 and 6
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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.
- JSIAM Letters
JSIAM Letters 2(0), 73-76, 2010
The Japan Society for Industrial and Applied Mathematics