Nonlinear Functional Analysis and Applications
Donald H. Hyers, Homomorphism, functional equation, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Banach spaces
The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over the past two decades. Hundreds of articles have been written citing his works, many of which have furthered the theorem. This paper contains a brief description of Hyers’ theorem, a biographical essay and an extensive bibliography of Hyers’ work and works citing the Hyers theorem or the D.H. Hyers–S.M. Ulam–Th.M. Rassias theorem or related subjects of almost the last three decades. The author of this paper is the grandson of D.H. Hyers.
Singleton, Brent D., "The Life and Work of D.H. Hyers, 1913-1997" (2006). Library Faculty Publications & Presentations. 10.