四川师范大学学报（自然科学版）2012，Vol.35Issue(3)：359-363,5.DOI:10.3969/j.issn.1001-8395.2012.03.015
两类广义对数函数方程和Pexider推广
Two Classes of Generalized Logarithmic Functional Equations and Pexider Generalizations
摘要
Abstract
Functional equations are involved in the fields of mathematics,aerodynamics,economic dynamics,etc,so,the study of functional equations is very important for the development of sciences,technologies and rational economic construction.The logarithmic functional equations are widely used in practice,and attract the attention of researchers in recent years.In this paper we prove that two classes of generalized logarithmic functional equations are equivalent to the classical logarithmic functional equations.For one class of generalized logarithmic functional equations,we discuss their Pexider equations and get their general solutions.For the other one,we consider the second order differentiable solutions of their Pexider equations.The related results in the papers ( K.J.Heuvers,P.Kannappan.Aequationes Math,2005,70:117 - 121.) and ( K.J.Heuvers.Aequationes Math,1999,58:260 -264.) are generalized.关键词
广义对数函数方程/古典对数函数方程/Pexider方程Key words
generalized logarithmic functional equation/classical logarithmic functional equation/Pexider equation分类
数理科学引用本文复制引用
刘晓华..两类广义对数函数方程和Pexider推广[J].四川师范大学学报（自然科学版）,2012,35(3):359-363,5.基金项目
This work is supposed by Scientific Research Fund of Sichuan Provincial Education Department (11ZA160) （11ZA160）
四川省教育厅自然科学重点基金(IIZA160)资助项目 （IIZA160）
