线性微分方程y″-λ^2y=f（x）的Hyers-Ulam稳定性  

Hyers-Ulam Stability of Linear Differential Equation y″-λ^2y=f（x）

作　　者：华柳斌[1] 黎永锦[2] 

机构地区：[1]广州松田职业学院,广东广州511370 [2]中山大学数学系,广东广州510275

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2011年第1期18-20,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871213)

摘　　要：Hyers-Ulam稳定性是Banach空间和Quasi-Banach空间中函数方程的重要性质.研究二阶线性微分方程的Hyers-Ulam稳定性,证明了线性微分方程y″-λ2y=f(x)具有Hyers-Ulam稳定性.The Hyers-Ulam stability is the important property of functional equations in Banach spaces and Quasi-Banach spaces.The Hyers-Ulam stability of second order linear differential equations was studied and it is proved that differential equation y″-λ2y=f（x） has Hyers-Ulam stability.

关 键 词：HYERS-ULAM稳定性 微分方程 函数方程 

分 类 号：O177.2[理学—数学]