Partial Differential Equations and Group Theory : New Perspectives for Applications

Lingua: inglese

Editore: Springer, Springer, 1994

079232966X / 9780792329664

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.

Codice articolo 9780792329664

Titolo
Partial Differential Equations and Group Theory : New Perspectives for Applications
Autore
J. F. Pommaret
Editore
Springer, Springer
Anno di pubblicazione
1994
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
079232966X
ISBN 13
9780792329664
Peso dell'articolo
898 grammi
Dimensioni
241x160x31 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 7 giorni lavorativiDa 7 a 10 giorni lavorativi
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