| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 669 2 |
| Ultima descărcare din IBN: 2023-12-18 08:36 |
 SM ISO690:2012STARUŞ, Elena. Invariant conditions for the dimensions of the GL(2,R)-orbits for one differential cubic system. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 58-70. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| Pag. 58-70 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
A two-dimensional system of two autonomous polynomial equations with
homogeneities of the zero and third orders is considered concerning to the group of
center-affine transformations GL(2,R). The problem of the classification of GL(2,R)-
orbit’s dimensions is solved completely for the given system with the help of Lie
algebra of operators corresponding to the GL(2,R) group, and algebra of invariants
and comitants for the indicated system is built. The theorem on invariant division
of all coefficient’s set of the considered system to nonintersecting GL(2,R)-invariant
sets is obtained. |
||||||
| Cuvinte-cheie differential system, invariant, comitants, orbit’s dimen- sions invariant sets. |
||||||
|
|
|
|
