03549nam 2200661 450 99646658040331620220916211404.03-540-47563-X10.1007/BFb0085073(CKB)1000000000437136(SSID)ssj0000327314(PQKBManifestationID)12062321(PQKBTitleCode)TC0000327314(PQKBWorkID)10298642(PQKB)11726640(DE-He213)978-3-540-47563-7(MiAaPQ)EBC5577603(Au-PeEL)EBL5577603(OCoLC)1066190467(MiAaPQ)EBC6872229(Au-PeEL)EBL6872229(PPN)155220721(EXLCZ)99100000000043713620220916d1993 uy 0engurnn|008mamaatxtccrTopological 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. /P. Fitzpatrick [and three others] ; editors, M. Furi, P. Zecca1st ed. 1993.Berlin :Springer-Verlag,[1993]©19931 online resource (VIII, 220 p.) Lecture notes in mathematics ;1537Bibliographic Level Mode of Issuance: Monograph3-540-56461-6 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.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.Lecture notes in mathematics (Springer-Verlag) ;1537.Boundary value problemsNumerical solutionsCongressesFixed point theoryCongressesMathematicsBoundary value problemsNumerical solutionsFixed point theoryMathematics.515.352Furi M(Massimo),Zecca P(Pietro),Fitzpatrick Patrick1946-Centro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK996466580403316Topological methods for ordinary differential equations81338UNISA