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Topological Methods for Ordinary Differential Equations: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) ... Terme, Italy, June 24-July 2, 1991
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220 pages Ex-Library book in good condition. 9783540564614 Sprache: Englisch Gewicht in Gramm: 550.
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Topological Methods for Ordinary Differential Equations: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) ... 2, 1991 (Lecture Notes in Mathematics, 1537)
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Topological Methods for Ordinary Differential Equations : Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)
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Topological Methods for Ordinary Differential Equations : Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)
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Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01553 3540564616 Sprache: Englisch Gewicht in Gramm: 550.
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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
Language: English
Published by Springer, Springer Vieweg, 1993
ISBN 10: 3540564616 ISBN 13: 9783540564614
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.d.e. (in finite and infinitedimension),and to provide a forum for discussion of the wide variety ofmathematical tools which are involved. The topics coveredrange from the extensions of the Lefschetz fixed point andthe fixed point index on ANR's, to the theory of parity ofone-parameter families of Fredholm operators, and from thetheory of coincidence degree for mappings on Banach spacesto homotopy methods for continuation principles.CONTENTS: P. Fitzpatrick: The parity as an invariant fordetecting bifurcation of the zeroes of one parameterfamilies of nonlinear Fredholm maps.- M. Martelli:Continuation principles and boundary value problems.- J.Mawhin: Topological degree and boundary value problems fornonlinear differential equations.- R.D. Nussbaum: The fixedpoint index and fixed point theorems.
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 972 | Sprache: Englisch | Produktart: Bücher | Fixed point theory concerns itself with a very simple, and basic, mathematical setting. For a functionf that has a setX as bothdomain and range, a ?xed point off isa pointx ofX for whichf(x)=x. Two fundamental theorems concerning ?xed points are those of Banach and of Brouwer. In Banach's theorem, X is a complete metric space with metricd andf:X?X is required to be a contraction, that is, there must existL< 1 such thatd(f(x),f(y))?Ld(x,y) for allx,y?X. Theconclusion is thatf has a ?xed point, in fact exactly one of them. Brouwer'stheorem requiresX to betheclosed unit ball in a Euclidean space and f:X?X to be a map, that is, a continuous function. Again we can conclude that f has a ?xed point. But in this case the set of?xed points need not be a single point, in fact every closed nonempty subset of the unit ball is the ?xed point set for some map. ThemetriconX in Banach'stheorem is used in the crucialhypothesis about the function, that it is a contraction. The unit ball in Euclidean space is also metric, and the metric topology determines the continuity of the function, but the focus of Brouwer's theorem is on topological characteristics of the unit ball, in particular that it is a contractible ?nite polyhedron. The theorems of Banach and Brouwer illustrate the di?erence between the two principal branches of ?xed point theory: metric ?xed point theory and topological ?xed point theory.
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Handbook of Topological Fixed Point Theory
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Handbook of Topological Fixed Point Theory
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Handbook of Topological Fixed Point Theory
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Handbook of Topological Fixed Point Theory
Language: English
Published by Springer-Verlag New York Inc., US, 2005
ISBN 10: 1402032218 ISBN 13: 9781402032219
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Add to basketHardback. Condition: New. 1st ed. 2005. Fixed point theory concerns itself with a very simple, and basic, mathematical setting. For a functionf that has a setX as bothdomain and range, a ?xed point off isa pointx ofX for whichf(x)=x. Two fundamental theorems concerning ?xed points are those of Banach and of Brouwer. In Banach's theorem, X is a complete metric space with metricd andf:X?X is required to be a contraction, that is, there must existL 1 such thatd(f(x),f(y))?Ld(x,y) for allx,y?X. Theconclusion is thatf has a ?xed point, in fact exactly one of them. Brouwer'stheorem requiresX to betheclosed unit ball in a Euclidean space and f:X?X to be a map, that is, a continuous function. Again we can conclude that f has a ?xed point. But in this case the set of?xed points need not be a single point, in fact every closed nonempty subset of the unit ball is the ?xed point set for some map. ThemetriconX in Banach'stheorem is used in the crucialhypothesis about the function, that it is a contraction.The unit ball in Euclidean space is also metric, and the metric topology determines the continuity of the function, but the focus of Brouwer's theorem is on topological characteristics of the unit ball, in particular that it is a contractible ?nite polyhedron. The theorems of Banach and Brouwer illustrate the di?erence between the two principal branches of ?xed point theory: metric ?xed point theory and topological ?xed point theory.
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Hardcover. Condition: Brand New. 1st edition. 970 pages. 9.50x6.50x1.75 inches. In Stock.
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Topological Methods for Ordinary Differential Equations
Language: English
Published by Springer Nature B.V., 2014
ISBN 10: 3662167115 ISBN 13: 9783662167113
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Topological Methods for Ordinary Differential Equations
Language: English
Published by Springer Nature B.V., 2014
ISBN 10: 3662167115 ISBN 13: 9783662167113
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Topological Methods for Ordinary Differential Equations
Language: English
Published by Springer Berlin Heidelberg, 1993
ISBN 10: 3540564616 ISBN 13: 9783540564614
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.d.e. (in finite and infinitedimension),and to provide a foru.
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Topological Methods for Ordinary Differential Equations
Language: English
Published by Springer, Springer Vieweg Mär 1993, 1993
ISBN 10: 3540564616 ISBN 13: 9783540564614
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The volume contains the texts of four courses, given bythe authors at a summer school that sought to present thestate of the art in the growing field of topological methodsin the theory of o.d.e. (in finite and infinitedimension)and to provide a forum for discussion of the wide variety ofmathematical tools which are involved. The topics coveredrange from the extensions of the Lefschetz fixed point andthe fixed point index on ANR's, to the theory of parity ofone-parameter families of Fredholm operators, and from thetheory of coincidence degree for mappings on Banach spacesto homotopy methods for continuation principles.CONTENTS: P. Fitzpatrick: The parity as an invariant fordetecting bifurcation of the zeroes of one parameterfamilies of nonlinear Fredholm maps.- M. Martelli:Continuation principles and boundary value problems.- J.Mawhin: Topological degree and boundary value problems fornonlinear differential equations.- R.D. Nussbaum: The fixedpoint index and fixed point theorems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 228 pp. Englisch.
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Handbook of Topological Fixed Point Theory
Language: English
Published by Springer Netherlands, 2005
ISBN 10: 1402032218 ISBN 13: 9781402032219
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Is the first in the world literature presenting all new trends in topological fixed point theoryPreface. I. Homological Methods in Fixed Point Theory. 1. Coincidence theory. 2. On the Lefschetz fixed point theorem. 3. Linearizations for maps of nilmanif.
