Topological Degree Theory and Applications

Volume 10

Donal O'Regan, Yeol Je Cho, Yu-Qing Chen - Collection Mathematical Analysis and Applications

230 pages, parution le 15/05/2006

Ajouter à une liste

Indisponible

Résumé

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.

L'auteur - Donal O'Regan

Donal O'Regan is a lecturer in the Department of Mathematics, National University of Ireland, Galway

L'auteur - Yeol Je Cho

Yeol Je Cho is a professor in the Departrment of Mathematics, Gyeongsang National University, Chinju, South Korea.

L'auteur - Yu-Qing Chen

Yu-Qing Chen is a professor of mathematics at Foshan University, Guangdong, China.

Sommaire

Brouwer degree theory
Leray Schauder degree theory
Degree theory for set contractive maps
Gener alized degree theory for A-proper maps
Coincidence degree theory
Degree theory for monotone-type maps
Fixed point index theory
References

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Donal O'Regan, Yeol Je Cho, Yu-Qing Chen
Collection	Mathematical Analysis and Applications
Parution	15/05/2006
Nb. de pages	230
Format	16 x 24,5
Couverture	Relié
Poids	460g
Intérieur	Noir et Blanc
EAN13	9781584886488