Symmetric Systems of Implicit Functional Differential Equations: Existence of Solutions and Bifurcation Results - Couverture souple

Li, Zhichao

 
9783659166693: Symmetric Systems of Implicit Functional Differential Equations: Existence of Solutions and Bifurcation Results
Couverture souple
ISBN 10 : 3659166693 ISBN 13 : 9783659166693
Editeur : LAP Lambert Academic Publishing, 2014

Synopsis

Many mathematical models of natural phenomena admit symmetries that are related to some physical or geometric regularities. In this way, we arrive at the following paradigmatic question: what is the link between symmetries of a differential system and symmetries of its solutions? In this book, we introduce an abstract functional analysis framework and equivariant degree methodology for studying implicit boundary value/Hopf bifurcation problems in the presence of group symmetries via the transition to the equivariant multivalued differential inclusions. The methodology is applied to three types of problems related to symmetric implicit differential systems and the abstract theoretical results are supported by concrete examples for which full equivariant analysis is performed. Since the symmetry groups are allowed to be of a considerable size, the conducted analysis is only possible with the usage of special computer programs created by us. These programs, based on the existing GAP routines, provide a platform for effective algebraic computations of Burnside ring and Euler ring. Thus this book should be especially useful to researchers in symmetric systems and symbolic computing.

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À propos de l?auteur

Zhichao Li is an assistant professor of financial mathematics at the United International College of Hong Kong Baptist University and Beijing Normal University. He received his Ph.D. in mathematics from the University of Texas at Dallas.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2014
Langue
anglais
ISBN 10 
3659166693
ISBN 13 
9783659166693
Reliure
Broché
Nombre de pages
284
Coordonnées du fabricant
non disponible
Personne responsable
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