%0 Journal Article
%T 一类模糊数值映射二次型方程和Drygas型方程的Ulam稳定性<br>Ulam Stability of Some Fuzzy Number-Valued Functional Equations and Drygas Type Functional Equation
%A 金振宇
%A 吴健荣&lt
%A br&gt
%A JIN Zhen-yu
%A WU Jian-rong
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.04.010
%X 方程的Ulam稳定性理论侧重于研究方程近似解附近存在精确解的条件.将Ulam稳定性的研究推广到了Banach空间中模糊数值映射方程.通过考虑无界的函数差，利用定义在模糊数空间中的度量，证明了更一般化的模糊数值映射二次型方程和Drygas型方程的Ulam稳定性，并得到其解的一些基本性质.所得的结论推广了已有文献中的相关结论.<br>The theory of the Ulam stability of equations focuses on conditions under which there exists an exact solution near approximate solutions for a given equation. The present paper investigates the Ulam stability of fuzzy number-valued functional equations in Banach spaces. By considering the unbounded differences between functions and by using the metric defined on a fuzzy number space, the Ulam stability of more general fuzzy number-valued quadratic type and Drygas type functional equations are proved. Moreover, some fundamental properties of the solutions are obtained. The obtained conclusions extend the relevant results in some existing papers
%K Ulam稳定性
%K 模糊数值映射
%K 二次型方程
%K Drygas型方程&lt
%K br&gt
%K Ulam stability
%K fuzzy number-valued mapping
%K quadratic type functional equation
%K Drygas type functional equation
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/4/201804010.htm