On solving a system of balanced functional equations on quasigroups III.
On Solving A System Of Balanced Functional Equations On Quasigroups II
On some alternative functional equations.
On some class of non-linear functional equations
On some functional equation generalizing Cauchy's and d'Alembert's functional equations
On some functional equations of Golab-Schinzel type.
On some functional equations of Jessen, Karpf, and Thorup.
On some functional equations with a restricted domain
On some functional equations with a restricted domain, II
On some generalized invariant means and their application to the stability of the Hyers-Ulam type
We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
On stability of a functional equation connected with the Reynolds operator.
On stability of additive mappings.
On stability of the Cauchy equation on semigroups.
On subaddidive and Ψ-additive mappings
On subadditive functions and ψ-additive mappings
In [4], assuming among others subadditivity and submultiplicavity of a function ψ: [0, ∞)→[0, ∞), the authors proved a Hyers-Ulam type stability theorem for “ψ-additive” mappings of a normed space into a normed space. In this note we show that the assumed conditions of the function ψ imply that ψ=0 and, consequently, every “ψ-additive” mapping must be additive
On sums of dependent uniformly distributed random variables.
We study and solve several functional equations which yield necessary and sufficient conditions for the sum of two uniformly distributed random variables to be uniformly distributed.
On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem.
On the Cauchy difference.
On the Cauchy equation modulo Z
On the Cauchy functional inequality in Banach modules.