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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Topological Degree Approach to Bifurcation Problems
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Topological Degree Approach to Bifurcation Problems
Michal Fečkan (Broschiert, Englisch)
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Beschreibung
1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di?erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to ?nd a complete dynamics of a nonlinear di?erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a… pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory. The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di?erential eq- tions on in?nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di?erential equations. 1. 53,49 €
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Technische Daten
Erscheinungsdatum
30.11.2010
Sprache
Englisch
EAN
9789048179695
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Topological Fixed Point Theory and Its Applications
Sonderedition
Nein
Autor
Michal Fečkan
Seitenanzahl
261
Einbandart
Broschiert
Schlagwörter
Boundary value problem, Vibration, calculus, differential topology, friction, partial differential equation, wave equation
Thema-Inhalt
PBP - Topologie
PBK - Mathematische Analysis, allgemein
GPFC - Kybernetik und Systemtheorie
PHD - Klassische Mechanik
TGMD - Maschinenbau: Festkörpermechanik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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