A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi--Normed 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

Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach

Matthias Birkner, José Alfredo López-Mimbela, Anton Wakolbinger · Proceedings of the American Mathematical Society · 2002 · 1K citations · Full text

Dirichlet Form, Elliptic Equation, Critical Dimension +9

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 the additive Cauchy functional equation in random normed spaces

Dorel Miheţ, Viorel Radu · Journal of Mathematical Analysis and Applications · 2008 · 361 citations

Functional Analysis, Nonlinear Functional Analysis