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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Playing Around Resonance/ by Alessandro Fonda.
其他題名:	An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /
作者:	Fonda, Alessandro.
面頁冊數:	XVI, 309 p. 9 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-47090-0
ISBN:	9783319470900

Playing Around Resonance = An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /
Fonda, Alessandro.

Playing Around ResonanceAn Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /[electronic resource] :by Alessandro Fonda. - 1st ed. 2016. - XVI, 309 p. 9 illus., 1 illus. in color.online resource. - Birkhäuser Advanced Texts Basler Lehrbücher,1019-6242. - Birkhäuser Advanced Texts Basler Lehrbücher,.

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.

ISBN: 9783319470900

Standard No.: 10.1007/978-3-319-47090-0doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

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