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

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 mathe...

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Bibliografiske detaljer
Auteurs principaux: Fitzpatrick, Patrick Michael, 1946- (Auteur), Mawhin, Jean, 1942- (Auteur), Martelli, Mario, 1937- (Auteur), Nussbaum, Roger D., 1944- (Auteur)
Institution som forfatter: Centro internazionale matematico estivo (C.I.M.E.). Session (Auteur)
Andre forfattere: Furi, Massimo, mathématicien (Directeur de la publication), Zecca, Pietro, 1949- (Directeur de la publication)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1537
Fag:
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Edition sous un autre format:• 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, P. Fitzpatrick ... [et al.], Berlin, Springer-Verlag, 1993, 1 vol. (218 p.), Lecture notes in mathematics, 3-540-56461-6
• Topological Methods for Ordinary Differential Equations, Texte imprimé, 9783662167113
• Topological Methods for Ordinary Differential Equations, Texte imprimé, 9783662601372
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245 0 0 |a Topological Methods for Ordinary Differential Equations :  |b 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   |c Patrick Fitzpatrick, Mario Martelli, Jean Mawhin, Roger Nussbaum ; edited by Massimo Furi, Pietro Zecca. 
260 |a Berlin [etc.] :  |b Springer. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Lecture notes in mathematics  |v 1537  |x 1617-9692 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 0 |a 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. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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. 
650 |a Topologie 
650 |a Théorème du point fixe 
650 |a Analyse mathématique 
650 |a Problèmes aux limites  |x Solutions numériques 
650 |a Actes de congrès 
700 1 |a Fitzpatrick, Patrick Michael,  |d 1946-  |4 aut 
700 1 |a Mawhin, Jean,  |d 1942-  |4 aut 
700 1 |a Martelli, Mario,  |d 1937-  |4 aut 
700 1 |a Nussbaum, Roger D.,  |d 1944-  |4 aut 
700 1 |a Furi, Massimo,  |c mathématicien.  |4 pbd 
700 1 |a Zecca, Pietro,  |d 1949-  |4 pbd 
710 2 |a Centro internazionale matematico estivo (C.I.M.E.).  |b Session  |n (1  |d  :1991  |c  :Terme, Italie).  |4 aut 
710 2 |a Centro internazionale matematico estivo.  |4 orm 
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776 0 |t Topological Methods for Ordinary Differential Equations  |b Texte imprimé  |z 9783662167113 
776 0 |t Topological Methods for Ordinary Differential Equations  |b Texte imprimé  |z 9783662601372 
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