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Zbl 1191.34053
Tang, Chun-Lei; Wu, Xing-Ping
Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems. (English)
[J] J. Differ. Equations 248, No. 4, 660-692 (2010). ISSN 0022-0396

Some critical point theorems with lack of compactness are deduced by means of the reduction method, the perturbation argument and the least action principle. These abstract results are applied under relaxed assumptions, and the main application is devoted to the existence of periodic solutions for nonautonomous second order Hamiltonian systems.
[Vicenţiu D. Rădulescu (Craiova)]

MSC 2000:: *34C25 Periodic solutions of ODE
37J45 Periodic, homoclinic and heteroclinic orbits, etc.
58E05 Abstract critical point theory

Keywords: critical point; reduction method; perturbation argument; the least action principle; periodic solution; second order Hamiltonian systems

Cited in: Zbl 1247.34066

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