On some recent developments in Ulam′ s type stability

N Brillouët-Belluot, J Brzdęk… - Abstract and applied …, 2012‏ - Wiley Online Library
On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
Abstract and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article …

[PDF][PDF] Stability of maximum preserving functional equations on Banach lattices

NK Agbeko - Miskolc Mathematical Notes, 2012‏ - mat76.mat.uni-miskolc.hu
Analogous functional equations are studied by substituting in the Cauchy (linear) functional
equation the addition with the maximum operation, to be called maximum preserving …

Derivations and linear functions along rational functions

E Gselmann - Monatshefte für Mathematik, 2013‏ - Springer
The main purpose of this paper is to give characterization theorems on derivations as well
as on linear functions. Among others the following problem will be investigated: Let n ∈ Z, f …

On approximate generalized Lie derivations

J Brzdęk, A Fošner - Glasnik matematički, 2015‏ - hrcak.srce.hr
Sažetak Motivated by the notion of the Hyers-Ulam stability, we prove results that are
efficient tools for the study of approximate generalized Lie derivations on Lie algebras. We …

Linked pairs of additive functions

B Ebanks - Aequationes mathematicae, 2017‏ - Springer
In 1990, Benz asked whether a real additive map** satisfying xf (y)= yf (x) xf (y)= yf (x) for
all points (x, y) on the unit circle must be linear. In 2005, Boros and Erdei showed that it must …

[PDF][PDF] Stablity of maximum preserving quadratic functional equation in Banach lattices

N Salehi, SMS Modarres Mosaddegh - Miskolc Mathematical Notes, 2016‏ - core.ac.uk
STABLITY OF MAXIMUM PRESERVING QUADRATIC FUNCTIONAL EQUATION IN BANACH
LATTICES Page 1 Miskolc Mathematical Notes HU e-ISSN 1787-2413 Vol. 17 (2016), No. 1, pp …

Approximate Derivations of Order n

E Gselmann - Acta Mathematica Hungarica, 2014‏ - Springer
APPROXIMATE DERIVATIONS OF ORDER n Page 1 Acta Math. Hungar. DOI: 0
APPROXIMATE DERIVATIONS OF ORDER n E. GSELMANN * Institute of Mathematics …

A note on stability of polynomial equations

J Brzdȩk, S Stević - Aequationes mathematicae, 2013‏ - Springer
A note on stability of polynomial equations Page 1 Aequat. Math. 85 (2013), 519–527 c©
Springer Basel AG 2012 0001-9054/13/030519-9 published online July 3, 2012 DOI …

Characterizations of derivations

E Gselmann - arxiv preprint arxiv:1904.05018, 2019‏ - arxiv.org
The main purpose of this work is to characterize derivations through functional equations.
This work consists of five chapters. In the first one, we summarize the most important notions …

On additive functions with additional derivation properties

R Grünwald, Z Páles - arxiv preprint arxiv:2006.11028, 2020‏ - arxiv.org
The purpose of this paper is to introduce the notion of a generalized derivation which
derivates a prescribed family of smooth vector-valued functions of several variables. The …