Topological Fixed Point Principles for Boundary Value Problems

Name: Topological Fixed Point Principles for Boundary Value Problems
Brand: Springer Netherlands
SKU: 9781402013805
Price: 59.14 EUR
Availability: InStock

Автор: J. Andres, Lech Górniewicz

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад в ограничено количество

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

Информация за книгата

Автор

J. Andres, Lech Górniewicz

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2003

страници

761

EAN

9781402013805

ISBN

1402013809

Enbook ID

01415281

Издател

Springer Netherlands

Теглоt

1518

Размери

160 x 240 x 41

Пълно описание

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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