Summary.
In an autonomous system of differential equations, we can reduce the number of equations by one, with a well known procedure. In order to do the same with systems of difference equations, we are led to consider a system of functional equations of a special type. Existence of holomorphic solutions of the system is proved by means of a fixed point theorem.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: May 26, 1997; revised version: July 20, 1998.
Rights and permissions
About this article
Cite this article
Suzuki, M. Holomorphic solutions of some system of n functional equations with n variables related to difference systems. Aequ. math. 57, 21–36 (1999). https://doi.org/10.1007/s000100050067
Issue Date:
DOI: https://doi.org/10.1007/s000100050067