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Playing around resonance = an invita...

Fonda, Alessandro.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Playing around resonance/ by Alessandro Fonda.
Reminder of title:	an invitation to the search of periodic solutions for second order ordinary differential equations /
Author:	Fonda, Alessandro.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xvi, 309 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Boundary value problems. -
Online resource:	http://dx.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. - 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

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

527599
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Playing around resonance = an invitation to the search of periodic solutions for second order ordinary differential equations /
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100 1 $a Fonda, Alessandro. $3 1050713
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.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Birkhauser,
300 $a xvi, 309 p. : $b ill., digital ; $c 24 cm.
490 1 $a Birkhauser advanced texts basler Lehrbucher, $x 1019-6242
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 Poincare-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.
650 0 $a Boundary value problems. $3 527599
650 0 $a Hilbert space. $3 558371
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Ordinary Differential Equations. $3 891264
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Birkhauser advanced texts basler Lehrbucher. $3 3201173
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-47090-0
950 $a Mathematics and Statistics (Springer-11649)