3 citations · 3 across the 5 of their papers we have counts for
5 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)…
Stability in the class of first order delay differential equations
Eszter Gselmann, Anna Kelemen
The main aim of this paper is the investigation of the stability problem for ordinary delay differential equations. More precisely, we would like to study the following problem. As…
Stability of the entropy equation
Eszter Gselmann
In this paper we prove that the so--called entropy equation, i.e., \[ H\left(x, y, z\right)=H\left(x+y, 0, z\right)+H\left(x, y, 0\right) \] is stable in the sense of Hyers and Ula…
Additive solvability and linear independence of the solutions of a system of functional equations
Eszter Gselmann, Zsolt Páles
The aim of this paper is twofold. On one hand, the additive solvability of the system of functional equations \[d_{k}(xy)=\sum_{i=0}^{k}Γ(i,k-i) d_{i}(x)d_{k-i}(y) \qquad (x,y\in \…