On the Continous Dependence of Continuous Solutions of a Functional Equation of n-th Order on Given Functions.
On the Continuous Dependence of Continuous Solutions of a Functional Equation of n-th Order on Given Functions (Short Communication)
On extending solutions of a functional equation.
Continuous Solutions of a Functional Equation of n-th Order. (Short Communications).
Note on Continuous Solutions of a Functional Equation.
On Extending of Solutions of a Functional Equation. (Short Communication).
Continuous Solutions of a Functional Equation of n-th Order
On the continuous solutions of the Golab-Schinzel equation.
On the convergence of sequences of iterates of random-valued functions.
On approximate solutions of a system of functional equations
On the continuous solutions of a non-linear functional equation of the first order
Note on the existence of continuous solutions of a functional equation of n-th order
On Baire measurable solutions of some functional equations
We establish conditions under which Baire measurable solutions f of defined on a metrizable topological group are continuous at zero.
Marek Kuczma
The scientific output of Marek Kuczma consists of 179 papers published in the years 1958-1993 and three books still used and quoted. Professor Marek Kuczma created and developed the theory of iterative functional equations but his name is also connected to important results on functional equations in several variables, in particular on Cauchy's equation and Jensen's inequality. In fact Marek Kuczma has founded a mathematical school: he supervised 13 Ph.D. dissertations, 10 his students have already...
On Orthogonally Additive Functions With Big Graphs
Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.
On The Continuous Dependence Of Solutions To Orthogonal Additivity Problem On Given Functions
We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.
On orthogonally additive functions with orthogonally additive second iterate
On orthogonally additive injections and surjections
Let be a real inner product space of dimension at least 2 and a linear topological Hausdorff space. If , then the set of all orthogonally additive injections mapping into is dense in the space of all orthogonally additive functions from into with the Tychonoff topology. If , then the set of all orthogonally additive surjections mapping into is dense in the space of all orthogonally additive functions from into with the Tychonoff topology.
Note on measures
On the uniqueness of continuous solutions of a functional equation of n-th order.
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