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517.9+517.925.41 (1) |
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243) |
![]() VACARAŞ, Olga. Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 3(79), pp. 79-101. 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+517.925.41 | |||||||
Pag. 79-101 | |||||||
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Rezumat | |||||||
In this article we classify all differential real cubic systems possessing two affine real non-parallel invariant straight lines of maximal multiplicity. We show that the maximal multiplicity of each of these lines is at most three. The maximal sequences of multiplicities: m(3, 3; 1), m(3, 2; 2), m(3, 1; 3), m(2, 2; 3), m1(2, 1; 3), m1(1, 1; 3) are determined. The normal forms and the corresponding perturbations of the cubic systems which realize these cases are given. |
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Cuvinte-cheie Cubic differential system, invariant straight line, algebraic multiplicity, geometric multiplicity. |
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