4 papers
The global symmetry group of first order differential equations and the global rectification theorem
Eszter Gselmann, Gábor Horváth
Symmetry analysis can provide a suitable change of variables, i.e., in geometric terms, a suitable diffeomorphism that simplifies the given direction field, which can help signific…
Remarks on the notion of homo-derivations
Eszter Gselmann, Gergely Kiss
The purpose of this paper is to study the (different) notions of homo-derivations. These are additive mappings of a ring that also fulfill the identity \[ f(xy)=f(x)y+xf(y)…
Characterizations of derivations
Eszter Gselmann
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 no…
On a class of linear functional equations without range condition
Eszter Gselmann, Gergely Kiss, Csaba Vincze
The main purpose of this work is to provide the general solutions of a class of linear functional equations. Let be an arbitrarily fixed integer, let further and …