On A Characterization Of Trigonometrical And Hyperbolic Functions By Functional Equations
On a class of composite functional equations in a single variable.
On a functional equation occurring in astrophysics.
On a functional equation of Luce.
On a functional equation. (Short Communication).
On a generalized Dhombres functional equation. II.
We consider the functional equation where is a given increasing homeomorphism of an open interval and is an unknown continuous function. In a previous paper we proved that no continuous solution can cross the line where is a fixed point of , with a possible exception for . The range of any non-constant continuous solution is an interval whose end-points are fixed by and which contains in its interior no fixed point except for . We also gave a characterization of the class of continuous...
On a linear functional equation with a mean-type mapping having no fixed points
Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
On a problem of R. Schilling. I.
On a problem of R. Schilling. II.
On a property of continuous solutions of the dilation equation with positive coefficients
On a Schröder equation arising in branching processes.
On a system of functional equations.
On a way of division of segments.
On an equation of linear iteration.
On approximate solutions of a functional equation in the class of differentiable functions
On approximate solutions of functional equations of countable order.
On boundaries of parallelizable regions of flows of free mappings.
On conjugacy equation in dimension one
In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (f and g are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.
On Darboux solutions of the Euler's equation.
On diffeomorphic solutions of simultaneous Abel's equations