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517.925 (42) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 NEAGU, Natalia, POPA, Mihail. Lyapunov’s stability of the unperturbed motion governed by the s3(1,3) differential system of Darboux type. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2021, nr. 2(12), pp. 74-81. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v12i2.74-81 |
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Acta et commentationes (Ştiinţe Exacte și ale Naturii) | ||||||
Numărul 2(12) / 2021 / ISSN 2537-6284 /ISSNe 2587-3644 | ||||||
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DOI:https://doi.org/10.36120/2587-3644.v12i2.74-81 | ||||||
CZU: 517.925 | ||||||
MSC 2010: 30E201, 30E202. | ||||||
Pag. 74-81 | ||||||
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There were obtained the conditions of stability after Lyapunov of the unperturbed motion for the system s3(1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system s3(1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system. |
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Cuvinte-cheie differential system, stability of unperturbed motion, center-affine comitant and invariant, Sistem diferențial, stabilitatea mișcării neperturbate, comitant si invariant centro-afin |
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<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <identifier identifierType='DOI'>10.36120/2587-3644.v12i2.74-81</identifier> <creators> <creator> <creatorName>Neagu, N.</creatorName> <affiliation>Universitatea Pedagogică de Stat „Ion Creangă“ din Chişinău, Moldova, Republica</affiliation> </creator> <creator> <creatorName>Popa, M.N.</creatorName> <affiliation>Universitatea de Stat din Tiraspol, Moldova, Republica</affiliation> </creator> </creators> <titles> <title xml:lang='en'>Lyapunov’s stability of the unperturbed motion governed by the s3(1,3) differential system of Darboux type</title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>2021</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>2537-6284</relatedIdentifier> <subjects> <subject>differential system</subject> <subject>stability of unperturbed motion</subject> <subject>center-affine comitant and invariant</subject> <subject>Sistem diferențial</subject> <subject>stabilitatea mișcării neperturbate</subject> <subject>comitant si invariant centro-afin</subject> <subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>517.925</subject> </subjects> <dates> <date dateType='Issued'>2021-12-29</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'><p>There were obtained the conditions of stability after Lyapunov of the unperturbed motion for the system s<sup>3(</sup>1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system s<sup>3(</sup>1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system.</p></description> <description xml:lang='ro' descriptionType='Abstract'><p>Au fost obtinute conditiile de stabilitate dupa Lyapunov a miscarii neperturbate pentru sistemul s<sup>3(</sup>1,3) în cazul necritic. Afost construita seria Lyapunov pentru sistemul diferential ternar de tip Darboux s<sup>3(</sup>1,3) în cazul critic si determinate conditiile de stabilitate a miscarii neperturbate guvernate de acest sistem.</p></description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>