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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 (Paperback, 1993 ed.)
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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 (Paperback, 1993 ed.)
Series: C.I.M.E. Foundation Subseries, 1537
Expected to ship within 10 - 15 working days
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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.
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