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CHVALINA, J. NOVÁK, M. SMETANA, B. STANĚK, D.
Originální název
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders. By using a suitable ordering or preordering of groups linear differential operators we construct hypercompositional structures of linear differential operators. Moreover, we construct actions of groups of differential operators on rings of polynomials of one real variable including diagrams of actions–considered as special automata. Finally, we obtain sequences of hypergroups and automata. The examples, we choose to explain our theoretical results with, fall within the theory of artificial neurons and infinite cyclic groups.
Klíčová slova
hyperstructure theory; linear differential operators; ODE; automata theory
Autoři
CHVALINA, J.; NOVÁK, M.; SMETANA, B.; STANĚK, D.
Vydáno
5. 2. 2021
Nakladatel
MDPI
ISSN
2227-7390
Periodikum
Mathematics
Ročník
9
Číslo
4
Stát
Švýcarská konfederace
Strany od
1
Strany do
16
Strany počet
URL
https://www.mdpi.com/2227-7390/9/4/319/htm
Plný text v Digitální knihovně
http://hdl.handle.net/11012/196740
BibTex
@article{BUT169178, author="Jan {Chvalina} and Michal {Novák} and Bedřich {Smetana} and David {Staněk}", title="Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators", journal="Mathematics", year="2021", volume="9", number="4", pages="1--16", doi="10.3390/math9040319", issn="2227-7390", url="https://www.mdpi.com/2227-7390/9/4/319/htm" }