The Center and Focus Problem：Algebraic Solutions and Hypotheses
商品資訊
系列名：Chapman & Hall/CRC Monographs and Research Notes i
ISBN13：9781032044101
出版社：PBKTYFRL
作者：M.N. Popa; V.V. Pricop
出版日：2021/08/15
裝訂／頁數：平裝／240頁
規格：15.6cm*23.4cm (高/寬)
商品簡介
The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback)
This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, researchers, professors and Ph.D. students working in the field of differential equations, as well as other specialists who are interested in the theory of Lie algebras, commutative graded algebras, the theory of generating functions and Hilbert series. The book reflects the results obtained by the authors in the last decades.
A rather essential result is obtained in solving Poincaré''s problem. Namely, there are given the upper estimations of the number of Poincaré-Lyapunov quantities, which are algebraically independent and participate in solving the Center and Focus Problem that have not been known so far. These estimations are equal to Krull dimensions of Sibirsky graded algebras of comitants and invariants of systems of differential equations.
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