Format:
Online-Ressource (IX, 303 p. 26 illus., 9 illus. in color, digital)
ISBN:
9783642329067
Series Statement:
Lecture Notes in Mathematics 2065
Content:
The Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles.
Content:
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.
Additional Edition:
ISBN 9783642329050
Additional Edition:
Buchausg. u.d.T. Stability and bifurcation theory for non-autonomous differential equations Berlin : Springer, 2013 ISBN 3642329055
Additional Edition:
ISBN 9783642329050
Language:
English
Subjects:
Mathematics
Keywords:
Differentialgleichungssystem
;
Nichtautonomes System
;
Stabilität
;
Verzweigung
;
Konferenzschrift
DOI:
10.1007/978-3-642-32906-7
URL:
Volltext
(lizenzpflichtig)
Author information:
Mawhin, Jean L. 1942-
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