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P. Gavruta, S. Jung and Y. Li, “Hyers-Ulam Stability for Second-Order Linear Differential Equations with Boundary Conditions,” Electron Journal of Differential Equations, Vol. 2011, No. 80, 2011, pp. 1-7.

has been cited by the following article:

• TITLE: Hyers-Ulam-Rassias Stability for the Heat Equation

  AUTHORS: Maher Nazmi Qarawani

  KEYWORDS: Hyers-Ulam-Rassias Stability; Heat Equation; Fourier Transform; Laplace Transform

  JOURNAL NAME: Applied Mathematics, Vol.4 No.7, July 5, 2013

  ABSTRACT: In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias. We have also used Laplace transform to establish the modified Hyers-Ulam-Rassias stability of initial-boundary value problem for heat equation on a finite rod. Some illustrative examples are given.