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517.925 (42) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
SM ISO690:2012 POPA, Mihail. Differential equations and algebras. In: Science and education: new approaches and perspectives: . Selective collection of abstracts, Ed. 25, 24-25 martie 2023, Chişinău. Chişinău: (CEP UPSC, 2023, Seria 25, pp. 58-59. ISBN 978-9975-46-788-9. |
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Science and education: new approaches and perspectives Seria 25, 2023 |
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Conferința "Science and education: new approaches and perspectives" 25, Chişinău, Moldova, 24-25 martie 2023 | ||||||
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CZU: 517.925 | ||||||
Pag. 58-59 | ||||||
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A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus, formulated more than 140 years ago by the great French mathematician Henri Poincare. In 2022 at one of the most prestigious publishing houses Taylor&Francis Group, a monograph with a detailed description of the solution of this problem came out of print, which is the de facto international recognition of this exceptional result. |
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Cuvinte-cheie Differential systems, invariant, comitant, centro-affine group, generating functions, Hilbert series, Lie algebra, graded algebra, Krull dimension, stability of unperturbed motion |
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