國立虎尾科技大學 |

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

Record Type:	Language materials, printed : 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.;
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:

528307
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 /
LDR:02005nam a2200325 a 4500 001 868308
003 DE-He213
005 20161114091556.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319470900 $q (electronic bk.)
020 $a 9783319470894 $q (paper)
024 7 $a 10.1007/978-3-319-47090-0 $2 doi
035 $a 978-3-319-47090-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA379
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA379 $b .F673 2016
100 1 $a Fonda, Alessandro. $3 1115836
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 528307
650 0 $a Hilbert space. $3 580375
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Ordinary Differential Equations. $3 670854
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Birkhauser advanced texts basler Lehrbucher. $3 1115837
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-47090-0
950 $a Mathematics and Statistics (Springer-11649)