Topological Degree Theory and Applications - Couverture souple

Livre 8 sur 9: Mathematical Analysis and Applications

Cho, Yeol Je; Chen, Yu-qing

 
9780367390983: Topological Degree Theory and Applications
Couverture souple
ISBN 10 : 0367390981 ISBN 13 : 9780367390983
Editeur : Routledge, 2019

Synopsis

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.

The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to ODEs in Banach spaces. This is followed by a study of degree theory for A-proper mappings and its applications to semilinear operator equations with Fredholm mappings and periodic boundary value problems. The focus then turns to construction of Mawhin's coincidence degree for L-compact mappings, followed by a presentation of a degree theory for mappings of class (S+) and its perturbations with other monotone-type mappings. The final chapter studies the fixed point index theory in a cone of a Banach space and presents a notable new fixed point index for countably condensing maps.

Examples and exercises complement each chapter. With its blend of old and new techniques, Topological Degree Theory and Applications forms an outstanding text for self-study or special topics courses and a valuable reference for anyone working in differential equations, analysis, or topology.

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

À propos de l?auteur

Cho, Yeol Je; Chen, Yu-Qing

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

Éditeur
Routledge
Date d'édition
2019
Langue
anglais
ISBN 10 
0367390981
ISBN 13 
9780367390983
Reliure
Broché
Nombre de pages
232
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9781584886488: Topological Degree Theory and Applications

Edition présentée

ISBN 10 :  158488648X ISBN 13 :  9781584886488
Editeur : Chapman and Hall/CRC, 2019
Couverture rigide