000 03344nam a22005415i 4500
001 978-3-540-47563-7
003 DE-He213
005 20160624101827.0
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
082 0 4 _a515
_223
100 1 _aFitzpatrick, Patrick.
_eauthor.
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.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_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 _aLecture Notes in Mathematics,
_x0075-8434 ;
_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 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aTopology.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aTopology.
700 1 _aMartelli, Mario.
_eauthor.
700 1 _aMawhin, Jean.
_eauthor.
700 1 _aNussbaum, Roger.
_eauthor.
700 1 _aFuri, Massimo.
_eeditor.
700 1 _aZecca, Pietro.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540564614
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1537
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0085073
942 _2EBK1590
_cEBK
999 _c30884
_d30884