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Více informací o knize Variational Principles For Second-order Differential Equations, Application Of The Spencer Theory Of

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Anotace knihy

The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations. This work looks at second-order differential equations and asks if they can be written as Euler-Lagrangian equations. If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi-Civita for some Riemann metric. To solve the inverse problem, the authors use the formal integrability theory of overdetermined partial differential systems in the Spencer-Quillen-Goldschmidt version. The main theorems of the book furnish a complete illustration of these techniques because all possible situations appear: involutivity, 2-acyclicity, prolongation, computation of Spencer cohomology, computation of the torsion, and more.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Variational Principles For Second-order Differential Equations, Application Of The Spencer Theory Of
• Autor: Joseph Grifone, Zoltan Muzsnay
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 228
• EAN: 9789810237349
• ISBN: 9810237340
• ID: 05066213
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 448 g
• Rozměry: 223 × 151 × 22 mm
• Datum vydání: 26. May 2000

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