| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 894 1 |
| Ultima descărcare din IBN: 2019-03-12 17:02 |
 SM ISO690:2012DIACONESCU, Oxana, POPA, Mihail. Lie algebras of operators and invariant
GL(2,R)-integrals for Darboux type differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 3(52), pp. 3-16. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(52) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| Pag. 3-16 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
In this article two-dimensional autonomous Darboux type differential systems with nonlinearities of the ith (i = 2, 7) degree with respect to the phase variables are considered. For every such system the admitted Lie algebra is constructed. With the aid of these algebras particular invariant GL(2, R)-integrals as well as first integrals of considered systems are constructed. These integrals represent the algebraic curves of the (i − 1)th (i = 2, 7) degree. It is showed that the Darboux type systems with nonlinearities of the 2nd, the 4th and the 6th degree with respect to the phase variables do not have limit cycles.. |
||||||
| Cuvinte-cheie The Darboux type differential system, invariant GL(2, R)-integrating factor, invariant GL(2, R)-integral, limit cycle., comitant |
||||||
|
Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Diaconescu, O.S.</dc:creator> <dc:creator>Popa, M.N.</dc:creator> <dc:date>2006-12-01</dc:date> <dc:description xml:lang='en'>In this article two-dimensional autonomous Darboux type differential systems with nonlinearities of the ith (i = 2, 7) degree with respect to the phase variables are considered. For every such system the admitted Lie algebra is constructed. With the aid of these algebras particular invariant GL(2, R)-integrals as well as first integrals of considered systems are constructed. These integrals represent the algebraic curves of the (i − 1)th (i = 2, 7) degree. It is showed that the Darboux type systems with nonlinearities of the 2nd, the 4th and the 6th degree with respect to the phase variables do not have limit cycles.. </dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 52 (3) 3-16</dc:source> <dc:subject>The Darboux type differential system</dc:subject> <dc:subject>comitant</dc:subject> <dc:subject>invariant GL(2</dc:subject> <dc:subject>R)-integrating factor</dc:subject> <dc:subject>invariant GL(2</dc:subject> <dc:subject>R)-integral</dc:subject> <dc:subject>limit cycle.</dc:subject> <dc:title>Lie algebras of operators and invariant GL(2,R)-integrals for Darboux type differential systems</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
|
|
|
