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S. M. Jung, “On the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings,” Journal of Mathematical Analysis and Applications, Vol. 204, No. 1, 1996, pp. 221-226. doi:10.1006/jmaa.1996.0433

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.