Topological Fixed Point Principles for Boundary Value Problems

Name: Topological Fixed Point Principles for Boundary Value Problems
Brand: Springer Netherlands
SKU: 9781402013805
Price: 297.04 RON
Availability: InStock

Autor: J. Andres, Lech Górniewicz

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Legare: Copertă tare

Editura: Springer Netherlands

Disponibilitate: În depozitul extern în cantități mici

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297.04 lei

Our book is devoted to the topological fixed point theory both for single-valued and multivalued map...

Informații despre carte

Autor

J. Andres, Lech Górniewicz

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

761

EAN

9781402013805

ISBN

1402013809

Enbook ID

01415281

Editura

Springer Netherlands

Greutate

1518

Dimensiuni

160 x 240 x 41

Descriere completă

Our book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topo logical fixed point theory in non-metric spaces. Although the theoretical material was tendentially selected with respect to ap plications, we wished to have a self-consistent text (see the scheme below). There fore, we supplied three appendices concerning almost-periodic and derivo-periodic single-valued {multivalued) functions and (multivalued) fractals. The last topic which is quite new can be also regarded as a contribution to the fixed point theory in hyperspaces. Nevertheless, the reader is assumed to be at least partly famil iar in some related sections with the notions like the Bochner integral, the Au mann multivalued integral, the Arzela-Ascoli lemma, the Gronwall inequality, the Brouwer degree, the Leray-Schauder degree, the topological (covering) dimension, the elemens of homological algebra, ... Otherwise, one can use the recommended literature. Hence, in Chapter I, the topological and analytical background is built. Then, in Chapter II (and partly already in Chapter I), topological principles necessary for applications are developed, namely: the fixed point index theory (resp. the topological degree theory), the Lefschetz and the Nielsen theories both in absolute and relative cases, periodic point theorems, topological essentiality, continuation-type theorems.

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