Fitzpatrick / Furi / Martelli Topological Methods for Ordinary Differential Equations

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 24-July 2, 1991
1993
ISBN: 978-3-540-47563-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 220 Seiten, eBook

Reihe: C.I.M.E. Foundation Subseries

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.

Zielgruppe

Research

Autoren/Hrsg.

Fitzpatrick, Patrick

Martelli, Mario

Mawhin, Jean

Nussbaum, Roger

Furi, Massimo

Zecca, Pietro

Inhaltsverzeichnis

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.