Topological Fixed Point Principles for Boundary Value Problems

Name: Topological Fixed Point Principles for Boundary Value Problems
Brand: Springer Netherlands
SKU: 9781402013805
Price: 22074 HUF
Availability: InStock

Szerző: J. Andres, Lech Górniewicz

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

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

Információk a könyvről

Szerző

J. Andres, Lech Górniewicz

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2003

oldal

761

EAN

9781402013805

ISBN

1402013809

Enbook ID

01415281

Kiadó

Springer Netherlands

Súly

1518

Méretek

160 x 240 x 41

Teljes leírás

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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Topological Fixed Point Principles for Boundary Value Problems

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