Playing Around Resonance

An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Playing Around Resonance by Alessandro Fonda, Springer International Publishing
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Author: Alessandro Fonda ISBN: 9783319470900
Publisher: Springer International Publishing Publication: November 11, 2016
Imprint: Birkhäuser Language: English
Author: Alessandro Fonda
ISBN: 9783319470900
Publisher: Springer International Publishing
Publication: November 11, 2016
Imprint: Birkhäuser
Language: English

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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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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