Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	November 2010
Genre:	Schulbücher
	Analysis / Analysis (Mathematics) / C / Calculus & mathematical analysis / Civil Engineering / Classical mechanics / Dynamical systems / Dynamical Systems and Ergodic Theory / Dynamics / Ergodic theory / Mathematical analysis / Mathematics and Statistics / Mechanics / Mechanics of solids / Nonlinear science / Topology / Vibration / Vibration, Dynamical Systems, Control
ISBN:	9789048179695
EAN-Code:	9789048179695
Verlag:	Springer Nature EN
Einband:	Kartoniert
Sprache:	English
Serie:	#05 - Topological Fixed Point Theory and Its Applications
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	421 gr
Seiten:	261
Illustration:	IX, 261 p. 17 illus., schwarz-weiss Illustrationen
Zus. Info:	Previously published in hardcover
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.