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Playing around resonancean invitatio...

Fonda, Alessandro.

Playing around resonancean invitation to the search of periodic solutions for second order ordinary differential equations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Playing around resonanceby Alessandro Fonda.
其他題名:	an invitation to the search of periodic solutions for second order ordinary differential equations /
作者:	Fonda, Alessandro.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xvi, 309 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Boundary value problems.
電子資源:	http://dx.doi.org/10.1007/978-3-319-47090-0
ISBN:	9783319470900$q(electronic bk.)

Playing around resonancean 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. - Cham :Springer International Publishing :2016. - xvi, 309 p. :ill., digital ;24 cm. - Birkhauser advanced texts basler Lehrbucher,1019-6242. - Birkhauser advanced texts basler Lehrbucher..

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 Poincare-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$q(electronic bk.)

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

206979
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Playing around resonancean invitation to the search of periodic solutions for second order ordinary differential equations /
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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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