Playing Around Resonance An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /

This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical quest...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Fonda, Alessandro (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Σειρά:Birkhäuser Advanced Texts Basler Lehrbücher,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Fonda, Alessandro.  |e author. 
245 1 0 |a Playing Around Resonance  |h [electronic resource] :  |b An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /  |c by Alessandro Fonda. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2016. 
300 |a XVI, 309 p. 9 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Birkhäuser Advanced Texts Basler Lehrbücher,  |x 1019-6242 
505 0 |a 1.Preliminaries on Hilbert spaces -- 2.Operators in Hilbert spaces -- 3.The semilinear problem -- 4.The topological degree -- 5.Nonresonance and topological degree -- 6.Playing around resonance -- 7.The variational method -- 8.At resonance, again -- 9.Lusternik-Schnirelmann theory. 10.The Poincaré-Birkhoff theorem -- 11.A myriad of periodic solutions. 
520 |a This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field. 
650 0 |a Mathematics. 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319470894 
830 0 |a Birkhäuser Advanced Texts Basler Lehrbücher,  |x 1019-6242 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-47090-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)