An approximation property of Gaussian functions

Electronic Journal of Differential Equations

卷:2013

关键词: Linear first order differential equation;    power series method;    Gaussian function;    approximation;    Hyers-Ulam stability;    local Hyers-Ulam stability;   

DOI  :  

来源: DOAJ

【 摘 要 】

Using the power series method, we solve the inhomogeneouslinear first order differential equation$$y'(x) + lambda (x-mu) y(x) = sum_{m=0}^infty a_m (x-mu)^m,$$and prove an approximation property of Gaussian functions.

【 授权许可】

Unknown