Differential equations and algebras
Închide
Articolul precedent
Articolul urmator
105 0
Căutarea după subiecte
similare conform CZU
517.925 (42)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
SM ISO690:2012
POPA, Mihail. Differential equations and algebras. In: Science and education: new approaches and perspectives: . Selective collection of abstracts, Ed. 25, 24-25 martie 2023, Chişinău. Chişinău: (CEP UPSC, 2023, Seria 25, pp. 58-59. ISBN 978-9975-46-788-9.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Science and education: new approaches and perspectives
Seria 25, 2023
Conferința "Science and education: new approaches and perspectives"
25, Chişinău, Moldova, 24-25 martie 2023

Differential equations and algebras

CZU: 517.925

Pag. 58-59

Popa Mihail12
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 "Ion Creangă" State Pedagogical University from Chisinau
 
 
Disponibil în IBN: 7 noiembrie 2023


Rezumat

A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus, formulated more than 140 years ago by the great French mathematician Henri Poincare. In 2022 at one of the most prestigious publishing houses Taylor&Francis Group, a monograph with a detailed description of the solution of this problem came out of print, which is the de facto international recognition of this exceptional result.

Cuvinte-cheie
Differential systems, invariant, comitant, centro-affine group, generating functions, Hilbert series, Lie algebra, graded algebra, Krull dimension, stability of unperturbed motion