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Periodic Solutions of a Nonlinear Second Order System

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Variational Methods

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 4))

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Abstract

We are interested in the existence of T periodic solutions of a second order system \(\ddot x\; + \;a\left( t \right)V'{ 1mu} \left( x \right)\; = \;f\left( t \right)\) where V: IR NIR is a potential which will be assumed to be convex, and the maps a: IR – IR and f: IR → IR N being T periodic.

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Lassoued, L. (1990). Periodic Solutions of a Nonlinear Second Order System. In: Berestycki, H., Coron, JM., Ekeland, I. (eds) Variational Methods. Progress in Nonlinear Differential Equations and Their Applications, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1080-9_32

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  • DOI: https://doi.org/10.1007/978-1-4757-1080-9_32

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-1082-3

  • Online ISBN: 978-1-4757-1080-9

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