TY  - BOOK
AU  - Fitzpatrick,Patrick
AU  - Martelli,Mario
AU  - Mawhin,Jean
AU  - Nussbaum,Roger
AU  - Furi,Massimo
AU  - Zecca,Pietro
ED  - SpringerLink (Online service)
TI  - 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 
T2  - Lecture Notes in Mathematics,
SN  - 9783540475637
AV  - QA299.6-433 
U1  - 515 23
PY  - 1993///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Topology
KW  - Analysis
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0085073
ER  -