HAN Yue,CHENG Lihua.Stability of a class of mixed functional equations with n variables in PM-space[J].Journal of Yanbian University,2023,(02):109-115.
PM 空间中一类n 变量混合型泛函方程的稳定性
- Title:
- Stability of a class of mixed functional equations with n variables in PM-space
- 关键词:
- Hyers-Ulam 稳定性; 不动点法; 混合型泛函方程; PM 空间
- 分类号:
- O177.7
- 文献标志码:
- A
- 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.
- Abstract:
- 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.
参考文献/References:
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备注/Memo
收稿日期: 2023 04 17
基金项目: 陕西省教育厅自然科学基金(22JK0394)
第一作者: 韩玥(1998—),女,硕士研究生,研究方向为泛函方程的稳定性.
通信作者: 成立花(1973—),女,副教授,研究方向为算子理论与小波分析.