LEADER 03549nam 2200661 450 001 996466580403316 005 20220916211404.0 010 $a3-540-47563-X 024 7 $a10.1007/BFb0085073 035 $a(CKB)1000000000437136 035 $a(SSID)ssj0000327314 035 $a(PQKBManifestationID)12062321 035 $a(PQKBTitleCode)TC0000327314 035 $a(PQKBWorkID)10298642 035 $a(PQKB)11726640 035 $a(DE-He213)978-3-540-47563-7 035 $a(MiAaPQ)EBC5577603 035 $a(Au-PeEL)EBL5577603 035 $a(OCoLC)1066190467 035 $a(MiAaPQ)EBC6872229 035 $a(Au-PeEL)EBL6872229 035 $a(PPN)155220721 035 $a(EXLCZ)991000000000437136 100 $a20220916d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aTopological methods for ordinary differential equations $electures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.), held in Montecatini Terme, Italy, June 24-July 2, 1991. /$fP. Fitzpatrick [and three others] ; editors, M. Furi, P. Zecca 205 $a1st ed. 1993. 210 1$aBerlin :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (VIII, 220 p.) 225 1 $aLecture notes in mathematics ;$v1537 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-56461-6 327 $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. 330 $aThe volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1537. 606 $aBoundary value problems$xNumerical solutions$vCongresses 606 $aFixed point theory$vCongresses 606 $aMathematics 615 0$aBoundary value problems$xNumerical solutions 615 0$aFixed point theory 615 0$aMathematics. 676 $a515.352 702 $aFuri$b M$g(Massimo), 702 $aZecca$b P$g(Pietro), 702 $aFitzpatrick$b Patrick$f1946- 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466580403316 996 $aTopological methods for ordinary differential equations$981338 997 $aUNISA