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A rational basis of GL (2, R )-comitants for the bidimensional polynomial system of differential equations of the fifth degree

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dc.contributor.author CALIN, Iurie
dc.contributor.author ORLOV, Victor
dc.date.accessioned 2020-11-02T14:02:13Z
dc.date.available 2020-11-02T14:02:13Z
dc.date.issued 2018
dc.identifier.citation CALIN, Iurie, ORLOV, Victor. A rational basis of GL (2, R )-comitants for the bidimensional polynomial system of differential equations of the fifth degree. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 27-29. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/10995
dc.description Only Abstract en_US
dc.description.abstract Definition 1. The set S of the comitants is called a rational basis on M ⊆ A of the comitants for the system with respect to the group GL(2, R) if any comitant of the system (1) with respect to the group GL(2, R) can be expressed as a rational function of elements of the set S. Definition 2. A rational basis on M ⊆ A of the comitants for the system (1) with respect to the group GL(2, R) is called minimal if by the removal from it of any comitant it ceases to be a rational basis. In [3] was established a method for construction the rational bases of GL(2, R)-comitants for the bidimensional polynomial systems of differential equations by using different comitants of the system. In this paper we will present a rational basis of GL(2, R)-comitants for the bidimensional polynomial system of differential equations of the fifth degree in the case, when the comitant of the linear part R1 ≡ 0. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject bidimensional polynomial systems en_US
dc.subject differential equations en_US
dc.subject comitants en_US
dc.title A rational basis of GL (2, R )-comitants for the bidimensional polynomial system of differential equations of the fifth degree en_US
dc.type Article en_US


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