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Öğe An approximation property of gaussian functions(Texas State Univ, 2013) Jung, Soon-Mo; Şevli, Hamdullah; Şevgin, SebaheddinUsing 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.Öğe Power series method and approximate linear differential equations of second order(Springer International Publishing AG, 2013) Jung, Soon-Mo; Şevli, HamdullahIn this paper, we will establish a theory for the power series method that can be applied to various types of linear differential equations of second order to prove the Hyers-Ulam stability.