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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
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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 - Taschenbuch

2008, ISBN: 9783639096019

[ED: Taschenbuch / Paperback], [PU: VDM Verlag Dr. Müller], 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., [SC: 0.00], Neuware, gewerbliches Angebot, H: 220mm, B: 150mm, T: 10mm, [GW: 270g]

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Differential Galois Theory and Lie-Vessiot Systems - David Blázquez-Sanz
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David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems - neues Buch

2013, ISBN: 9783639096019

ID: 621674098

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. Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations Bücher > Sachbücher > Naturwissenschaften & Technik > Mathematik Taschenbuch 26.10.2013 Buch (fremdspr.), VDM, .201

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Differential Galois Theory and Lie-Vessiot Systems - David Blázquez-Sanz
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David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems - neues Buch

ISBN: 9783639096019

ID: 770ee8f8319a90a20c43623721e2d19a

Analytic and Algebraic Theory of Lie-Vessiot Systems and Superposition Laws for Ordinary Differential Equations 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. Bücher / Sachbücher / Naturwissenschaften & Technik / Mathematik 978-3-639-09601-9, VDM

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Differential Galois Theory and Lie-Vessiot Systems - David Blázquez-Sanz
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems - neues Buch

ISBN: 9783639096019

ID: fd5fa74cf675141bcf5221a94d4feba8

The purpose of this work is to develop a differentialGalois theory for differential equations admittingsuperposition laws. First, we characterize thosedifferential equations in terms of Lie group actions,generalizing some classical results due to S. Lie. Wecall them Lie-Vessiot systems. Then, we develop adifferential Galois theory for Lie-Vessiot systemsboth in the complex analytic and algebraic contexts.In the complex analytic context we give a theory thatgeneralizes the tannakian approach to the classicalPicard-Vessiot theory. In the algebraic case, westudy differential equations under the formalism ofdifferential algebra. We prove that algebraicLie-Vessiot systems are solvable in strongly normalextensions. Therefore, Lie-Vessiot systems aredifferential equations attached to the Kolchin''sdifferential Galois theory. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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Differential Galois Theory and Lie-Vessiot Systems: Analytic and Algebraic Theory of Lie-Vessiot Systemsand Superposition Laws for Ordinary DifferentialEquations - David Blázquez-Sanz
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David Blázquez-Sanz:
Differential Galois Theory and Lie-Vessiot Systems: Analytic and Algebraic Theory of Lie-Vessiot Systemsand Superposition Laws for Ordinary DifferentialEquations - Taschenbuch

ISBN: 3639096010

Taschenbuch, [EAN: 9783639096019], Vdm Verlag Dr. Müller E.K., Vdm Verlag Dr. Müller E.K., Book, [PU: Vdm Verlag Dr. Müller E.K.], Vdm Verlag Dr. Müller E.K., 295107, Algebra & Zahlentheorie, 519802, Abstrakte Algebra, 295101, Algebraische Geometrie, 519804, Algebraische Topologie, 519806, Codierungstheorie, 295084, Graphentheorie, 295122, Gruppen, Körper & Ringe, 295123, Kombinatorik, 519814, Kryptografie, 295110, Lineare Algebra, 519816, Matrixtheorie, 295126, Zahlentheorie, 290521, Mathematik, 288100, Fachbücher, 541686, Kategorien, 186606, Bücher, 189275, Mathematik, 121, Naturwissenschaften & Technik, 541686, Kategorien, 186606, Bücher

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Details zum Buch
Differential Galois Theory and Lie-Vessiot Systems
Autor:

Blázquez-Sanz David

Titel:

Differential Galois Theory and Lie-Vessiot Systems

ISBN-Nummer:

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.

Detailangaben zum Buch - Differential Galois Theory and Lie-Vessiot Systems


EAN (ISBN-13): 9783639096019
ISBN (ISBN-10): 3639096010
Taschenbuch
Erscheinungsjahr: 2008
Herausgeber: VDM Verlag
192 Seiten
Gewicht: 0,302 kg
Sprache: ger/Deutsch

Buch in der Datenbank seit 12.01.2009 14:13:15
Buch zuletzt gefunden am 25.03.2017 13:35:59
ISBN/EAN: 9783639096019

ISBN - alternative Schreibweisen:
3-639-09601-0, 978-3-639-09601-9


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