On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability

On the Stability of the Linear Functional Equation

D. H. Hyers · Proceedings of the National Academy of Sciences · 1941 · 4K citations · Full text

Natural Sciences, Mathematics, Differential Equations +7

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

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

Natural Sciences, Mathematics, Dynamical Systems +4

On the Stability of the linear Transformation in Banach Spaces.

Tosio Aoki · Journal of the Mathematical Society of Japan · 1950 · 1.6K citations · Full text

Natural Sciences, Literature, Dynamical Systems +8

Remarks on the stability of functional equations

Piotr W. Cholewa · Aequationes Mathematicae · 1984 · 591 citations

Natural Sciences, Mathematics, Differential Equations +8

Classes of transformations and bordering transformations

D. G. Bourgin · Bulletin of the American Mathematical Society · 1951 · 401 citations · Full text

Natural Sciences, Architectural Representation, Topology +3