Playing Around Resonance: An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations
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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 Poincar???-Birkhoff theorem.- 11.A myriad of periodic solutions.
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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 Poincar???-Birkhoff theorem.- 11.A myriad of periodic solutions.
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Details: ISBN:
3319470892
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309
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