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| Ultima descărcare din IBN: 2018-10-10 08:03 |
| Căutarea după subiecte similare conform CZU |
| 512.628+519.956 (1) |
| Algebră (414) |
 SM ISO690:2012CALIN, Iurie, CIUBOTARU, Stanislav. The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 112-130. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.628+519.956 | ||||||
| MSC 2010: 34C05, 58F14 | ||||||
| Pag. 112-130 | ||||||
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| Rezumat | ||||||
For the autonomous bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the GL(2, R)-invariant recurrence equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the mentioned systems is obtained. For a class of such systems the necessary and sufficient GL(2,R)-invariant conditions for the existence of center are given. |
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| Cuvinte-cheie Polynomial differential systems, invariant, comitant, transvectant, center conditions, Lyapunov quantities |
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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>Calin, I.T.</dc:creator> <dc:creator>Ciubotaru, S.S.</dc:creator> <dc:date>2017-11-08</dc:date> <dc:description xml:lang='en'><p>For the autonomous bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the GL(2, R)-invariant recurrence equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the mentioned systems is obtained. For a class of such systems the necessary and sufficient GL(2,R)-invariant conditions for the existence of center are given.</p></dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 84 (2) 112-130</dc:source> <dc:subject>Polynomial differential systems</dc:subject> <dc:subject>invariant</dc:subject> <dc:subject>comitant</dc:subject> <dc:subject>transvectant</dc:subject> <dc:subject>Lyapunov quantities</dc:subject> <dc:subject>center conditions</dc:subject> <dc:title>The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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