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G. Wang, M. Zhou and L. Sun, “Hyers-Ulam Stability of Linear Differential Equations of First Order,” Applied Mathematics Letters, Vol. 21, No. 10, 2008, pp. 10241028. doi:10.1016/j.aml.2007.10.020

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.