On the functional equation of the secondary zeta-functions.
On the Functional Equation ... (x) + ... (y) = v(T(x, y))
On the general solution of a functional equation connected to sum form information measures on open domain. III.
On the general solution of a nonsymmetric partial difference functional equation analogous to the wave equation.
On the general solution of a system of functional equations.
On the General Solution of the Functional Equation f(x + y
On the general solution of the triangle mean value equation. (Short Communication).
On the general solution of the triangle mean value equation.
On the generalised equations of associativity and bisymmetry.
On the generalized cube and octahedron functional equations.
On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation.
On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations.
On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations.
On the graph of a quasi-additive function.
On the helix equation
This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝd, (t, ω) ↦ H(t, ω) of the helix equation where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical system on a measurable space (Ω, ℱ).More precisely, we investigate dominated solutions and non differentiable solutions of the helix equation. For the last case, the Wiener helix plays a fundamental role. Moreover, some relations with the cocycle equation defined...
On the Heyde theorem for discrete Abelian groups
Let X be a countable discrete Abelian group, Aut(X) the set of automorphisms of X, and I(X) the set of idempotent distributions on X. Assume that α₁, α₂, β₁, β₂ ∈ Aut(X) satisfy . Let ξ₁, ξ₂ be independent random variables with values in X and distributions μ₁, μ₂. We prove that the symmetry of the conditional distribution of L₂ = β₁ξ₁ + β₂ξ₂ given L₁ = α₁ξ₁ + α₂ξ₂ implies that μ₁, μ₂ ∈ I(X) if and only if the group X contains no elements of order two. This theorem can be considered as an analogue...
On the homogeneity of additive mappings.
On the Hyers-Ulam stability of quadratic functional equations.
On the hyperbolic linear functional equations.
On the increasing solutions of the translation equation
Let M be a non-empty set endowed with a dense linear order without the smallest and greatest elements. Let (G,+) be a group which has a non-trivial uniquely divisible subgroup. There are given conditions under which every solution F: M×G → M of the translation equation is of the form for a ∈ M, x ∈ G with some non-trivial additive function c: G → ℝ and a strictly increasing function f: M → ℝ such that f(M) + c(G) ⊂ f(M). In particular, a problem of J. Tabor is solved.