LEADER 02565nam 22004815 450 001 9910151858503321 005 20230711074850.0 010 $a3-319-47090-6 024 7 $a10.1007/978-3-319-47090-0 035 $a(CKB)3710000000952893 035 $a(DE-He213)978-3-319-47090-0 035 $a(MiAaPQ)EBC4743070 035 $a(PPN)197134335 035 $a(EXLCZ)993710000000952893 100 $a20161114d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPlaying Around Resonance $eAn Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations /$fby Alessandro Fonda 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XVI, 309 p. 9 illus., 1 illus. in color.) 225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894 311 $a3-319-47089-2 320 $aIncludes bibliographical references and index. 327 $a1.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. 330 $aThis book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field. 410 0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894 606 $aDifferential equations 606 $aDifferential Equations 615 0$aDifferential equations. 615 14$aDifferential Equations. 676 $a113 700 $aFonda$b Alessandro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756044 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910151858503321 996 $aPlaying around resonance$91523578 997 $aUNINA