Multiple periodic solutions of Hamiltonian systems in the plane
Keywords
Multiplicity of periodic solutions, nonlinear boundary value problems, Poincaré-Birkhoff TheoremAbstract
Our aim is to prove a multiplicity result for periodic solutions of Hamiltonian systems in the plane, by the use of the Poincaré-Birkhoff Fixed Point Theorem. Our main theorem generalizes previous results obtained for scalar second order equations by Lazer and McKenna [< i> Large scale oscillatory behaviour in loaded asymmetric systems< /i> , Ann. Inst. H. Poincaré Anal. Non Linéaire < b> 4< /b> (1987), 243–274] and Del Pino, Manasevich and Murua [< i> On the number of $2\pi$-periodic solutions for $u''+g(u) =s(1+h(t))$ using the Poincaré–Birkhoff Theorem< /i> , J. Differential Equations < b> 95< /b> (1992), 240–258].Downloads
Published
2010-04-23
How to Cite
1.
FONDA, Alessandro and GHIRARDELLI, Luca. Multiple periodic solutions of Hamiltonian systems in the plane. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 1, pp. 27 - 38. [Accessed 29 March 2024].
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