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Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera, Lecture Notes in Mathematics 2065 - C.I.M.E. Foundation Subseries

Capietto, Anna/Kloeden, Peter/Mawhin, Jean et al
Erschienen am 14.12.2012, 1. Auflage 2012
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Bibliografische Daten
ISBN/EAN: 9783642329050
Sprache: Englisch
Umfang: ix, 303 S., 17 s/w Illustr., 9 farbige Illustr., 3
Einband: kartoniertes Buch

Beschreibung

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.