On the Functional Equation F(u) = F(1 - n) + F(...), ...[0,...]
On the Functional Equation F(u) = F(l - u) + F(u/l - u), u ... [0, ...] (Short Communication)
On the Functional Equation ... (x) + ... (y) = v(T(x, y))
On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations.
On the modified entropy equation.
On the mutual noncompatibility of homogeneous analytic non-power mean. (Summary).
On the mutual noncompatibility of homogeneous analytic non-power means.
On the optimality of a characterization theorem for the gamma function using the multiplication formula.
On the quasiarithmetic mean in a mean value property and the associated functional equation.
On the Solutions of the Functional Equation When the Function Satisfies Some Special Conditions
On the stability of a functional equation related to associativity
On the stability of generalized gamma functional equation.
On the structure of homoethic functions. (Summary).
On the structure of homothetic functions.
On the superstability of the Pexider type trigonometric functional equation.
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 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 -invariant measures and a functional equation
One-parameter system of functional equations.
Operations between sets in geometry
An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped with respect to the origin) in -dimensional Euclidean space . It is proved that if , with three trivial exceptions, an operation between origin-symmetric compact convex sets is continuous in the Hausdorff metric, covariant, and associative if and only if it is addition for some . It is also demonstrated that if ,...