Topological Methods for Ordinary Differential Equations (Paperback)

Patrick Fitzpatrick

ISBN 10: 3540564616 / ISBN 13: 9783540564614

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1993

About this Item

Paperback. 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. The topics coveredrange from the extensions of the Lefschetz fixed point andthe fixed point index on ANR's, to the theory of parity ofone-parameter families of Fredholm operators, and from thetheory of coincidence degree for mappings on Banach spacesto homotopy methods for continuation principles. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783540564614

Bibliographic Details

• Title: Topological Methods for Ordinary Differential Equations (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 1993
• Language: English
• ISBN 10: 3540564616
• ISBN 13: 9783540564614
• Binding: Paperback
• Condition: new

About this title

Synopsis

The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), 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 ANR's, 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. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.