Application of the decomposition method to functional equations

Authors

  • Attila Házy University of Miskolc
  • Tamás Glavosits University of Miskolc
  • József Túri University of Miskolc

DOI:

https://doi.org/10.35925/j.multi.2023.3.15

Keywords:

functional equations, additive and logarithmic functions, linear differential equations, measurable solutions

Abstract

In this paper a decomposition theorem to functional equations is shown. As an application of this theorem the two times continuously differentiable solution of the functional equation

G1(x(x+y)+F1(y) = G2(y(x+y)+F2(y)  

can be given with unknown functions Gi, Fi : R+ → R (i=1,2),   where the equation is fulfilled for all x,y∈R+.

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Published

2023-12-15

Issue

Vol. 13 No. 3 (2023): MultiScience - microCAD International Multidisciplinary Scientific Conference - Special Issue Part II.

Section

Articles