Overview

This volume contains the texts of four courses given by the authors at a summer school that sought to present the growing field of topological methods in the theory of ordinary differential equations (in finite and infinite dimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANRs, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles.

Full Product Details

Author:   Patrick Fitzpatrick ,  Massimo Furi ,  Mario Martelli ,  Pietro Zecca
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1993 ed.
Volume:   1537
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.720kg
ISBN:  

9783540564614

ISBN 10:   3540564616
Pages:   220
Publication Date:   08 March 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- Continuation principles and boundary value problems.- Topological degree and boundary value problems for nonlinear differential equations.- The fixed point index and fixed point theorems.

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