On integrability of homogeneous rational equations

Cozma Dumitru; Matei Angela

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2024-01-29 13:59

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517.91 (11)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (252)

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COZMA, Dumitru, MATEI, Angela. On integrability of homogeneous rational equations. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2020, nr. 2(10), pp. 54-67. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v10i2.54-67

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Acta et commentationes (Ştiinţe Exacte și ale Naturii)

Numărul 2(10) / 2020 / ISSN 2537-6284 /ISSNe 2587-3644

On integrability of homogeneous rational equations

Integrabilitatea ecuatiilor diferentiale rationale omogene

DOI:https://doi.org/10.36120/2587-3644.v10i2.54-67

CZU: 517.91

MSC 2010: 34C05, 37G10.

Pag. 54-67

Cozma Dumitru, Matei Angela

Tiraspol State University

Disponibil în IBN: 16 ianuarie 2021

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We study the integrability of homogeneous rational linear and homogeneous rational quadratic differential equations. We prove that these equations can be integrated by using their algebraic solutions which are invariant straight lines.

Se studiaza integrabilitatea ecuatiilor diferentiale rationare liniare omogene si rationare patratice omogene. Se demonstreaza ca aceste ecuatii pot fi integrate folosind solutiile algebrice ale ecuatiilor care reprezinta drepte invariante.

Cuvinte-cheie
homogeneous differential equations, algebraic solutions, integrability,

ecuatii diferentiale omogene, solutii algebrice, integrabilitate

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