An approximation property of Gaussian functions
Electronic Journal of Differential Equations, vol.2013, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2013
- Publication Date: 2013
- Journal Name: Electronic Journal of Differential Equations
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Linear first order differential equation, power series method, Gaussian function, approximation, Hyers-Ulam stability, local Hyers-Ulam stability
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
Using the power series method, we solve the inhomogeneous linear _rst order di_erential equation y′(x) + λ(x -μ)y(x) = ∞∑m=0 am(x-μ)m; and prove an approximation property of Gaussian functions. © 2013 Texas State University - San Marcos.