Drygas二次型函数方程的Ulam稳定性  

The Ulam stability of Drygas-quadratic functional equation

作　　者：宋爱民[1] 

机构地区：[1]甘肃民族师范学院数学系,甘肃合作747000

出　　处：《西北师范大学学报（自然科学版）》2016年第6期22-28,共7页Journal of Northwest Normal University(Natural Science)

基　　金：甘肃省高等学校科研资助项目(2015B-120)

摘　　要：给出了Drygas二次型函数方程的定义,并得到其一般解;讨论了Drygas二次型函数方程与混合三次-四次型函数方程的关系,并在Banach空间及模糊赋范空间上讨论了它的Ulam稳定性.A class of Drygas-quadratic functional equation is defined,and its general solution is obtained. Meanwhile,the relationship between Drygas-quadratic functional equation and cubic-quartic functional equation is given.Finally the Ulam stability of Drygas-quadratic functional equation in Banach space and fuzzy normed space is discussed.

关 键 词：Drygas二次型函数方程 BANACH空间 模糊赋范空间 Ulam稳定性 

分 类 号：O177.1[理学—数学]