PLAYING AROUND RESONANCE

PLAYING AROUND RESONANCE

Editorial:
BIRKHAÜSER
Año de edición:
Materia
Matematicas
ISBN:
978-3-319-47089-4
Páginas:
309
N. de edición:
1
Idioma:
Inglés
Disponibilidad:
Disponible en 2-3 semanas

Descuento:

-5%

Antes:

80,00 €

Despues:

76,00 €

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

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.

Features
• Provides an up-to-date description of nonlinear boundary value problemsTheory of periodic solutions of ODEs are treatedPermits to fastly reach advanced scientific results and open problems in the field