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Topological Methods for Ordinary Differential Equations de Patrick Fitzpatrick

Topological Methods for Ordinary Differential Equations: Lecture Notes in Mathematics, cartea 1537

Autor Patrick Fitzpatrick, Mario Martelli, Jean Mawhin, Roger Nussbaum Editat de Massimo Furi, Pietro Zecca
en Limba Engleză Paperback – 8 mar 1993
The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.d.e. (in finite and infinitedimension),and to provide a forum for discussion of the wide variety ofmathematical tools which are involved. 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.CONTENTS: P. Fitzpatrick: The parity as an invariant fordetecting bifurcation of the zeroes of one parameterfamilies of nonlinear Fredholm maps.- M. Martelli:Continuation principles and boundary value problems.- J.Mawhin: Topological degree and boundary value problems fornonlinear differential equations.- R.D. Nussbaum: The fixedpoint index and fixed point theorems.
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Specificații

ISBN-13: 9783540564614
ISBN-10: 3540564616
Pagini: 228
Ilustrații: VIII, 220 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:1993
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.