与关联有理函数相关的柯西型泛函方程

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2019-12-01 DOI:10.2478/aupcsm-2019-0011

K. Domańska

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引用次数: 0

摘要

摘要L. Losonczi[4]确定了广义柯西方程f(f(x, y)) = f(x) + f(y)在给定有理函数f的定义分量上的局部解，该类有理函数由a . ch ritat[1]描述，作者的论文[3]继承了他的工作。本文的目的是描述一类奇异结合有理函数方程的局部解。

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Cauchy type functional equations related to some associative rational functions

Abstract L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F (x, y)) = f(x) + f(y) on components of the definition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks