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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fonda, Alessandro (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Birkhäuser Advanced Texts Basler Lehrbücher,
Temas:
Acceso en línea:Texto Completo

MARC

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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. 
250 |a 1st ed. 2016. 
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 
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490 1 |a Birkhäuser Advanced Texts Basler Lehrbücher,  |x 2296-4894 
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. 
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