Mohlo by sa vám tiež páčiť

Viac informácií o knihe Differential Galois Theory and Lie-Vessiot Systems

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 217 bodov

Anotácia knihy

The purpose of this work is to develop a differential§Galois theory for differential equations admitting§superposition laws. 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. Then, we develop a§differential Galois theory for Lie-Vessiot systems§both in the complex analytic and algebraic contexts.§In the complex analytic context we give a theory that§generalizes the tannakian approach to the classical§Picard-Vessiot theory. In the algebraic case, we§study differential equations under the formalism of§differential algebra. 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. The purpose of this work is to develop a differential§Galois theory for differential equations admitting§superposition laws. 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. Then, we develop a§differential Galois theory for Lie-Vessiot systems§both in the complex analytic and algebraic contexts.§In the complex analytic context we give a theory that§generalizes the tannakian approach to the classical§Picard-Vessiot theory. In the algebraic case, we§study differential equations under the formalism of§differential algebra. 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics

• Celý názov: Differential Galois Theory and Lie-Vessiot Systems
• Podnázov: Analytic and Algebraic Theory of Lie-Vessiot Systemsand Superposition Laws for Ordinary DifferentialEquations
• Autor: David Blázquez-Sanz
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 192
• EAN: 9783639096019
• ISBN: 3639096010
• ID: 06818648
• Nakladateľ: VDM Verlag Dr. Mueller E.K.
• Hmotnosť: 263 g
• Rozmery: 229 × 152 × 10 mm
• Dátum vydania: 29. October 2008

Obľúbené z iného súdka

---

---

---