Playing Around Resonance , 1st ed. 2016
An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations
Birkhäuser Advanced Texts Basler Lehrbücher Series

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Language: English

Approximative price 81.22 €

In Print (Delivery period: 15 days).

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Playing Around Resonance
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Support: Print on demand

Approximative price 81.22 €

In Print (Delivery period: 15 days).

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Playing Around Resonance
Publication date:
181 p. · 15.5x23.5 cm · Hardback
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.

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.

Provides an up-to-date description of nonlinear boundary value problems
Theory of periodic solutions of ODEs are treated
Permits to fastly reach advanced scientific results and open problems in the field