Banach空间中一类混合型泛函方程的稳定性  

Stability of a Class of Mixed Functional Equations in Banach Space

作　　者：韩玥 成立花[1] HAN Yue;CHENG Lihua(School of Science,Xi'an Polytechnic University,Xi'an 710048,China)

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《沈阳大学学报（自然科学版）》2024年第5期444-449,共6页Journal of Shenyang University：Natural Science

基　　金：陕西省教育厅自然科学基金(22JK0394)。

摘　　要：提出了一类新的三-四次混合型泛函方程,并得到它在向量空间中的通解。结合差分算子的定义,采用直接法证明了Banach空间上该混合型泛函方程的广义Hyers-Ulam-Rassias稳定性。A new class of cubic and quartic mixed functional equations was presented and its general solution in vector space was obtained.Combined with the definition of difference operator,the generalized Hyers-Ulam-Rassias stability of the mixed functional equation on Banach space was proved by direct method.

关 键 词：HYERS-ULAM-RASSIAS稳定性 三次映射 四次映射 混合型泛函方程 BANACH空间 

分 类 号：O177.7[理学—数学]