Periodic solutions of asymptotically linear autonomous Hamiltonian systems

In this paper we study the existence and the continuation of periodic solutions of autonomous Hamiltonian systems. We apply the degree for G-invariant strongly indefinite functionals, defined in Gołȩbiewska and Rybicki (2011) [2]. We consider resonant as well as nonresonant case at stationary soluti...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2013-04, Vol.400 (1), p.254-265
Main Author: Gołȩbiewska, Anna
Format: Article
Language:English
Subjects:
Autonomous Hamiltonian systems
Degree for [formula omitted]-invariant strongly indefinite functionals
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Summary:In this paper we study the existence and the continuation of periodic solutions of autonomous Hamiltonian systems. We apply the degree for G-invariant strongly indefinite functionals, defined in Gołȩbiewska and Rybicki (2011) [2]. We consider resonant as well as nonresonant case at stationary solutions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2012.11.002