02565nam 22004815 450 991015185850332120230711074850.03-319-47090-610.1007/978-3-319-47090-0(CKB)3710000000952893(DE-He213)978-3-319-47090-0(MiAaPQ)EBC4743070(PPN)197134335(EXLCZ)99371000000095289320161114d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPlaying Around Resonance An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /by Alessandro Fonda1st ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (XVI, 309 p. 9 illus., 1 illus. in color.)Birkhäuser Advanced Texts Basler Lehrbücher,2296-48943-319-47089-2 Includes bibliographical references and index.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.Birkhäuser Advanced Texts Basler Lehrbücher,2296-4894Differential equationsDifferential EquationsDifferential equations.Differential Equations.113Fonda Alessandroauthttp://id.loc.gov/vocabulary/relators/aut756044MiAaPQMiAaPQMiAaPQBOOK9910151858503321Playing around resonance1523578UNINA