Invariant integrability conditions for ternary differential systems with quadratic nonlinearities
Close
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
825 2
Ultima descărcare din IBN:
2017-10-11 13:32
Căutarea după subiecte
similare conform CZU
517.911/958+519.213.84 (1)
Analysis (300)
Probability. Mathematical statistics (80)
SM ISO690:2012
NEAGU, Natalia. Invariant integrability conditions for ternary differential systems with quadratic nonlinearities. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 3(82), pp. 57-71. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(82) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Invariant integrability conditions for ternary differential systems with quadratic nonlinearities
CZU: 517.911/958+519.213.84
MSC 2010: 34C20, 34C45

Pag. 57-71

Neagu Natalia12
 
1 "Ion Creangă" State Pedagogical University from Chisinau,
2 Tiraspol State University
 
 
Disponibil în IBN: 19 aprilie 2017


Rezumat

The general integral for ternary differential system with quadratic nonlinearities of the Darboux form was constructed by using the Lie theorem on integrating factor. The case is achieved when the comitant of the linear part of differential system, which is a GL(3, R)-invariant particular integral, describes an invariant variety.

Cuvinte-cheie
Center-affine group, ternary Darboux differential system, general integral,

comitant, Lie algebra, integrating factor