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AN APPROXIMATION PROPERTY OF GAUSSIAN FUNCTIONS
- Issue Date
- Jan-2013
- Publisher
- TEXAS STATE UNIV
- Keywords
- Linear first order differential equation; power series method; Gaussian function; approximation; Hyers-Ulam stability; local Hyers-Ulam stability
- Citation
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, v.2013, pp.1 - 8
- Journal Title
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 2013
- Start Page
- 1
- End Page
- 8
- ISSN
- 1072-6691
- Abstract
- Using the power series method, we solve the inhomogeneous linear first order differential equation y'(x) + lambda(x - mu)y(x) = Sigma(infinity)(m = 0) a(m) (x - mu)(m), and prove an approximation property of Gaussian functions.
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