On local properties of compactly supported solutions of the two-coefficient dilation equation.
On locally bounded solutions of Schilling's problem
We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation f(qx) = 1/(4q) [f(x-1) + f(x+1) + 2f(x)] which vanishes outside the interval [-q/(1-q),q/(1-q)] and is bounded in a neighbourhood of a point of that interval vanishes everywhere.
On nonstrict means.
On Probability Distribution Solutions of a Functional Equation
Let 0 < β < α < 1 and let p ∈ (0,1). We consider the functional equation φ(x) = pφ (x-β)/(1-β) + (1-p)φ(minx/α, (x(α-β)+β(1-α))/α(1-β)) and its solutions in two classes of functions, namely ℐ = φ: ℝ → ℝ|φ is increasing, , , = φ: ℝ → ℝ|φ is continuous, , . We prove that the above equation has at most one solution in and that for some parameters α,β and p such a solution exists, and for some it does not. We also determine all solutions of the equation in ℐ and we show the exact connection...
On quasi-continuous iteration semigroups and groups of real functions
On reduction of linear two variable functional equations to differential equations without substitutions.
On solutions of the Gołab-Schinzel equation.
On some class of midconvex functions
On some functional equations of Golab-Schinzel type.
On some iteration semigroups
Let be a disjoint iteration semigroup of diffeomorphisms mapping a real open interval onto . It is proved that if has a dense orbit possesing a subset of the second category with the Baire property, then for some diffeomorphism of onto the set of all reals . The paper generalizes some results of J.A.Baker and G.Blanton [3].
On some local topological semigroups.
On some properties of polynomial functions
On the Baxter functional equation.
On the Baxter functional equation. (Summary).
On the continuous dependence of solutions of some functional equations on given functions
On the Continuous Dependences of Cr Solutions of a Functional Equation on the Given Functions
On the determination of strict t-norms on some diagonal segments.
On the differentiability of solutions of a functional equation with respect to a parameter
On the existence of a compactly supported -solution for two-dimensional two-scale dilation equations
Necessary and sufficient conditions for the existence of compactly supported -solutions for the two-dimensional two-scale dilation equations are given.
On the Functional Equation f (x + t, y) + f (x - t, y) = f (x, y + t) + f (x, y - t).