TY - JOUR
T1 - Stability of Cubic Functional Equation in Three Variables
AU - Yang , A-Li
AU - Cheng , Lihua
JO - Communications in Mathematical Research 
VL - 4
SP - 289
EP - 296
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/18992.html
KW - stability, functional equation, Lie homomorphism.
AB - <p style="text-align: justify;">In this paper, we prove a generalization of Hyers&#39; theorem on the stability of approximately additive mapping and a generalization of Badora&#39;s theorem
on approximate ring homomorphism. We also obtain more general stability theorem,
which gives stability theorems on Jordan and Lie homomorphisms. The proofs of the
theorems in this paper are given following essentially the Hyers-Rassias approach to
the stability of the functional equations connected with Ulam&#39;s problem.</p>