Article citationsMore>>

E. Takahasi, T. Miura and S. Miyajima, “On the HyersUlam Stability of the Banach Space-Valued Differential Equation ,” Bulletin of the Korean Mathematical Society, Vol. 39, No. 2, 2002, pp. 309-315. doi:10.4134/BKMS.2002.39.2.309

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.