A Uniqueness Theorem for Stability Problems of Functional Equations

被引：0

作者：

Jung, Soon-Mo ^{[1
]}

Lee, Yang-Hi ^{[2
]}

Roh, Jaiok ^{[3
]}

机构：

[1] Hallym Univ, Nano Convergence Technol Res Inst, Sch Semicond Display Technol, Chunchon 24252, South Korea

[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 32553, South Korea

[3] Hallym Univ, Ilsong Liberal Art Sch Math, Chunchon 24252, South Korea

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

uniqueness; stability; generalized stability; monomial mapping; generalized polynomial mapping of degree <italic>n</italic>; ULAM-RASSIAS STABILITY;

D O I：

10.3390/sym16101298

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present a uniqueness theorem obtained by using direct calculation. This theorem is applicable to stability problems of functional equations whose solutions are monomial or generalized polynomial mappings of degree n. The advantage of this uniqueness theorem is that it simplifies the proof by eliminating the need to repeatedly and cumbersomely prove uniqueness in stability studies.

引用

页数：15

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