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![]() REPEŞCO, Vadim. The multiplicity of the invariant straight line at the infinity for the quintic system. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, pp. 23-24. |
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Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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Pag. 23-24 | ||||||
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Rezumat | ||||||
Consider the real polynomial di erential system of degree n, i.e. a differential system. According to [1], if the system (1) has suciently many invariant straight lines considered with their multiplicities, then we can obtain a Darboux rst integral for it. There are di erent types of multiplicities of these invariant straight lines, for example: parallel multiplicity, geometric multiplicity, algebraic multiplicity, etc [2]. In this work we will use the notion of algebraic multiplicity of an invariant straight line. |
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<?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>Repeşco, V.F.</dc:creator> <dc:date>2021</dc:date> <dc:description xml:lang='en'><p>Consider the real polynomial di erential system of degree n, i.e. a differential system. According to [1], if the system (1) has suciently many invariant straight lines considered with their multiplicities, then we can obtain a Darboux rst integral for it. There are di erent types of multiplicities of these invariant straight lines, for example: parallel multiplicity, geometric multiplicity, algebraic multiplicity, etc [2]. In this work we will use the notion of algebraic multiplicity of an invariant straight line.</p></dc:description> <dc:source>Conference on Applied and Industrial Mathematics (Ediţia a 28-a) 23-24</dc:source> <dc:title>The multiplicity of the invariant straight line at the infinity for the quintic system</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>