几类广义Pexider方程的解

肖志涛

doi:10.12052/gdutxb.210017

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几类广义Pexider方程的解

综合研究 | 更新时间：2026-05-27

- 几类广义Pexider方程的解
- Solutions of Some Generalized Pexider Equations
- 广东工业大学学报 2022年39卷第2期页码：72-75
- 作者机构：
  
  广州华立学院,广东,广州,511325
- 作者简介：
  
  肖志涛(1978–)，男，讲师，硕士，主要研究方向为偏微分方程，E-mail：xiaozhitao418@163.cm
- 基金信息：
  
  广东省高等教育教学改革资助项目(2016236);广东教育教学成果奖(高等教育)培育资助项目(2014172);广东工业大学华立学院2018年校级科研资助项目(HLKY-2018-ZK-08)
- DOI：10.12052/gdutxb.210017
  中图分类号： O175
- 网络首发：2022-03-10，
  
  纸质出版：2022
- 稿件说明：
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肖志涛. 几类广义Pexider方程的解[J]. 广东工业大学学报, 2022, 39(2): 72-75.

Xiao Zhi-tao. Solutions of Some Generalized Pexider Equations[J]. 2022, 39(2): 72-75.
肖志涛. 几类广义Pexider方程的解[J]. 广东工业大学学报, 2022, 39(2): 72-75. DOI： 10.12052/gdutxb.210017.

Xiao Zhi-tao. Solutions of Some Generalized Pexider Equations[J]. 2022, 39(2): 72-75. DOI： 10.12052/gdutxb.210017.

摘要

讨论了Pexider可加函数方程、Pexider指数函数方程、Pexider对数函数方程、Pexider幂函数方程的一般形式，给出了这些方程的通解。

Abstract

The general forms of pexider additive function equation

pexider exponential function equation

pexider logarithmic function equation and pexider power function equation are discussed

and the general solutions of these equations are given.

关键词

Keywords

references

PEXIDER J V. Notizuber funktionltheoreme[J]. Monatsh Math Phy, 1903, 14: 293-301.

RADO F, BAKER J A. Pexider’s equation and aggregation of allocations[J]. Aequationes Mathematicae, 1987, 32: 227-239.

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SONG J S, LI Y H. Hyers-Ulam-Rassias stability of a quadratic-additive type function equation in fuzzy space [J]. International Electronic Journal of Pure and Applied Mathematics, 2015, 9(3): 121-136.

XU L, SONG C X. Stability and boundedness of a class of third-order delay differential equations [J]. Journal of Guangdong University of Technology, 2015, 32(1): 128-132.

HUANG H M, GUO C J. Stability of solutions for a class of impulsive stochastic differential equations[J]. Journal of Guangdong University of Technology, 2020, 37(6): 56-62.

ACZEL J. Lectures on Function Equations and Their Applications[M]. New York: Academic Press, 1966.

GUIASU S. Information Theory with Applications[M]. New York: McGraw-Hill, 1977.

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