数学物理学报 ›› 2020, Vol. 40 ›› Issue (2): 352-368.

• 论文 • 上一篇    下一篇

2-Banach空间上三次-四次混合型函数方程的Hyers-Ulam-Rassias稳定性

王春1,*(),许天周2   

  1. 1 长治学院数学系 山西长治 046011
    2 北京理工大学数学与统计学院 北京 100081
  • 收稿日期:2018-10-15 出版日期:2020-04-26 发布日期:2020-05-21
  • 通讯作者: 王春 E-mail:wangchun12001@163.com
  • 基金资助:
    山西省自然科学基金(201801D121024);山西省高等学校科技创新项目(2019L0903)

Hyers-Ulam-Rassias Stability of a Mixed Type Cubic-Quartic Functional Equation in 2-Banach Spaces

Chun Wang1,*(),Tianzhou Xu2   

  1. 1 Department of Mathematics, Changzhi University, Shanxi Changzhi 046011
    2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081
  • Received:2018-10-15 Online:2020-04-26 Published:2020-05-21
  • Contact: Chun Wang E-mail:wangchun12001@163.com
  • Supported by:
    the NSF of Shanxi Province(201801D121024);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP)(2019L0903)

摘要:

该文研究了2-Banach空间上三次-四次混合型函数方程

的一般解和Hyers-Ulam-Rassias稳定性,这里k>1.该文的结果提升和推广了已有的相关结果.

关键词: Hyers-Ulam-Rassias稳定性, 一般解, 三次映射, 四次映射, 2-Banach空间

Abstract:

In this paper, we investigate the general solution and the Hyers-Ulam-Rassias stability of the mixed type cubic-quartic functional equation

in 2-Banach spaces, where k >1. The results improve and extend some recent results.

Key words: Hyers-Ulam-Rassias stability, General solution, Cubic function, Quartic function, 2-Banach space

中图分类号: 

  • O177.9