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 Differential Galois Theory and Lie-Vessiot Systems. Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations
Наименование:

Differential Galois Theory and Lie-Vessiot Systems. Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations

автор David B. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 192        мягкая обложка       
Аннотация:Then, we develop a differential Galois theory for Lie-Vessiot systems both in the complex analytic and algebraic contexts. First, we characterize those differential equations in terms of Lie group actions, generalizing some classical results due to S. Lie. We call them Lie-Vessiot systems. The purpose of this work is to develop a differential Galois theory for differential equations admitting superposition laws. In the algebraic case, we study differential equations under the formalism of differential algebra. In the complex analytic context we give a theory that generalizes the tannakian approach to the classical Picard-Vessiot theory. We prove that algebraic Lie-Vessiot systems are solvable in strongly normal extensions. Therefore, Lie-Vessiot systems are differential equations attached to the Kolchin' s differential Galois theory.
Автор: David B.
Издательство: Книга по Требованию
Год:2008
Цена:
2783 руб
Нет в наличии
Поиск: Differential Galois Theory and Lie-Vessiot Systems. Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations


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