摘要
利用差分算子的定义给出了一类新的n变量可加-二次混合型泛函方程,并通过对函数性态进行分类得到了其在实向量空间中的通解,同时利用不动点方法证明了该混合型泛函方程在PM-空间中具有Hyers-Ulam稳定性.
A new class of additive-quadratic hybrid functional equations of n variables was given by using the definition of difference operators.By categorizing the functional states,its general solution in real vector space was obtained,and the fixed-point method was used to prove that the hybrid functional equations have Hyers-Ulam stability in PM-space.
作者
韩玥
成立花
HAN Yue;CHENG Lihua(School of Science,Xian Polytechnic University,Xian 710048,China)
出处
《延边大学学报(自然科学版)》
CAS
2023年第2期109-115,共7页
Journal of Yanbian University(Natural Science Edition)
基金
陕西省教育厅自然科学基金(22JK0394)。