On the Ulam problem for Euler quadratic mappings.
On the uniqueness of continuous solutions of a functional equation of n-th order.
On the uniqueness of continuous solutions of functional equations
We consider the problem of the vanishing of non-negative continuous solutions ψ of the functional inequalities (1) ψ(f(x)) ≤ β(x,ψ(x)) and (2) α(x,ψ(x)) ≤ ψ(f(x)) ≤ β(x,ψ(x)), where x varies in a fixed real interval I. As a consequence we obtain some results on the uniqueness of continuous solutions φ :I → Y of the equation (3) φ(f(x)) = g(x,φ(x)), where Y denotes an arbitrary metric space.
On the uniqueness of periodic decomposition
Let be arbitrary nonzero real numbers. An -decomposition of a function f:ℝ → ℝ is a sum where is an -periodic function. Such a decomposition is not unique because there are several solutions of the equation with -periodic. We will give solutions of this equation with a certain simple structure (trivial solutions) and study whether there exist other solutions or not. If not, we say that the -decomposition is essentially unique. We characterize those periods for which essential uniqueness...
On the Uniqueness of Scales Derived from Canonical Representations
On the Uniqueness of Solutions of the Functional Equation ... .
On the Uniqueness of the Representation of Functions in the Form ... .
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations.
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations. (Short Communication).
On transformations of ordinary differential equations
The paper describes the general form of an ordinary differential equation of the order which allows a nontrivial global transformation consisting of the...
On trigonometric functional equations of rectangular type.
On trigonometric polynomials spanned by characters of unitary representations.
On two conditional forms of the equation ||f(x + y)|| = ||f(x) + f(y)||.
On two conditional forms of the equation ||f(x + y)|| = ||f(x) + f(y)||. (Summary).
On Two Functional Equations Connected with a Mean-Value Property of Polynomials
On Two Functional Equations Connected with a Mean-Value Property of Polynomials (Short Communication)
On two functional equations connected with the characterizations of the distance measures.
On two mean value properties and functional equations associated with them.
On two new functional equations for generalized Joukowski transformations
The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
On Uniqueness Theorems of Aczél and Cellular Internity of Miller (Short Communication)