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001 978-3-540-47563-7
003 DE-He213
005 20190213151235.0
007 cr nn 008mamaa
008 121227s1993 gw | s |||| 0|eng d
020 _a9783540475637
_9978-3-540-47563-7
024 7 _a10.1007/BFb0085073
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aFitzpatrick, Patrick.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTopological Methods for Ordinary Differential Equations
_h[electronic resource] :
_bLectures 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 /
_cby Patrick Fitzpatrick, Mario Martelli, Jean Mawhin, Roger Nussbaum ; edited by Massimo Furi, Pietro Zecca.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1993.
300 _aVIII, 220 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v1537
505 0 _aThe 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.
520 _aThe 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.
650 0 _aGlobal analysis (Mathematics).
650 0 _aTopology.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
700 1 _aMartelli, Mario.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aMawhin, Jean.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aNussbaum, Roger.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aFuri, Massimo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aZecca, Pietro.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662167113
776 0 8 _iPrinted edition:
_z9783540564614
830 0 _aC.I.M.E. Foundation Subseries ;
_v1537
856 4 0 _uhttps://doi.org/10.1007/BFb0085073
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9996
_d9996