Glavosits, Tamás and Házy, Attila and Túri, József (2023) Application of a Decomposition Method to Functional Equations. MULTIDISZCIPLINÁRIS TUDOMÁNYOK: A MISKOLCI EGYETEM KÖZLEMÉNYE, 13 (3). pp. 141-147. ISSN 2062-9737
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Official URL: https://doi.org/10.35925/j.multi.2023.3.15
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+.
| Item Type: | Article |
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| Uncontrolled Keywords: | functional equations, additive and logarithmic functions, linear differential equations, measurable solutions |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 25 Apr 2024 07:35 |
| Last Modified: | 25 Apr 2024 07:35 |
| URI: | https://real.mtak.hu/id/eprint/193050 |
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