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

• 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: Mathematics.; Differential equations.; 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...

Πίνακας περιεχομένων:

• 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.