Global Solution Branches Of Two Point Boundary Value Problems (Lecture Notes In Mathematics) - Couverture souple

Schaaf, Renate

 
9783540535140: Global Solution Branches Of Two Point Boundary Value Problems (Lecture Notes In Mathematics)
Couverture souple
ISBN 10 : 3540535144 ISBN 13 : 9783540535140
Editeur : Springer, 1991

Synopsis

The book deals with parameter dependent problems of the form u" + * f (u) = 0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u, *)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book deals with parameter dependent problems of the form u" + * f (u) = 0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u, *)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.

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

Éditeur
Springer
Date d'édition
1991
Langue
anglais
ISBN 10 
3540535144
ISBN 13 
9783540535140
Reliure
Broché
Nombre de pages
168
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780387535142: Global Solution Branches of Two Point Boundary Value Problems

Edition présentée

ISBN 10 :  0387535144 ISBN 13 :  9780387535142
Couverture souple