二次函数方程在Schwartz广义函数空间D′(R^n)上的稳定性(英文)

Stability of Quadratic Functional Equation in the Space D′(R^n) of Schwartz's Distributions

利用广义函数正则化的方法研究了二次函数方程在Schwartz广义函数空间D′(Rn)上的Hyers-Ulam-Rassias型稳定性,并得到了类似于在一般函数空间上的二次函数方程稳定性结果.

Making use of the method of regularizing distributions,the Hyers-Ulam-Rassias stability of the quadratic functional equation in the space D′（Rn） of Schwartz＇s distributions is investigated,and the similar results as in the classical functions space for the stability of the quadratic functional equation is obtained.