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.
On the inhomogeneous Cauchy functional equation.
In this note we solve the inhomogeneous Cauchy functional equation f(x+y) - f(x) - f(y) = d(x,y), x,y belonging to R, in the case where d is bounded.
On the inverse stability of functional equations
The inverse stability of functional equations is considered, i.e. when the function, approximating a solution of the equation, is an approximate solution of this equation.
On the Largest Solution of a Functional Equation Connected to sum Form Information Measures on Open Domain-i
On the lower hull of convex functions.
On the measurable solutions of certain 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 Normal Stability of Functional Equations
In the paper two types of stability and of b-stability of functional equations are distinguished.
On the optimality of a characterization theorem for the gamma function using the multiplication formula.
On the orbits of hat-functions
On the order of exponential growth of the solution of the linear difference equation with periodic coefficient in Banach space.
On the Pexider difference
On the Pexider equation.
On the pseudo-processes and pseudo-dynamical systems
On the quasiarithmetic mean in a mean value property and the associated functional equation.
On the radius of convergence of series solutions of a functional equation
On the recursive sequence .