C. Alsina and R. Ger, “On Some Inequalities and Stability Results Related to the Exponential Function,” Journal of Inequalities and Applications, Vol. 2, No. 4, 1998, pp. 373-380.
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.