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517.9+519.7+512.628 (1) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (242) |
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SM ISO690:2012 CIUBOTARU, Stanislav. Rational bases of GL(2,R)-comitants and of
GL(2,R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 3(79), pp. 14-34. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | |||||||
Numărul 3(79) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322 | |||||||
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CZU: 517.9+519.7+512.628 | |||||||
Pag. 14-34 | |||||||
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This paper is devoted to the construction of minimal rational bases of GL(2, R)-comitants and minimal rational bases of GL(2, R)-invariants for the bidimensional system of differential equations with nonlinearities of the fourth degree. For this system, three minimal rational bases of GL(2,R)-comitants and two minimal rational bases of GL(2, R)-invariants were constructed. It was established that any minimal rational basis of GL(2, R)-comitants contains 13 comitants and each minimal rational basis of GL(2, R)-invariants contains 11 invariants. |
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Cuvinte-cheie Polynomial differential systems, invariant, comitant, transvectant, rational basis. |
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