Stability of a mixed type cubic–quartic functional equation in non-Archimedean spaces

On the Stability of the Linear Functional Equation

D. H. Hyers · Proceedings of the National Academy of Sciences · 1941 · 3.9K citations · Full text

Engineering, Linear Functional Equation, System Stability +4

A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

P. Găvruţa · Journal of Mathematical Analysis and Applications · 1994 · 1.7K citations

Engineering, Physics, Additive Mappings +2

On stability of additive mappings

Zbigniew Gajda · International Journal of Mathematics and Mathematical Sciences · 1991 · 837 citations · Full text

Mathematical Programming, Geometry Of Number, Engineering +9

On the Stability of Functional Equations and a Problem of Ulam

Themistocles M. Rassias · Acta Applicandae Mathematicae · 2000 · 575 citations · Full text

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

Kil-Woung Jun, Hark-Mahn Kim · Journal of Mathematical Analysis and Applications · 2002 · 304 citations

Nonlinear Functional Analysis, Cubic Functional Equation, Nonlinear Equation +1