Open Access
2014 New Periodic Solutions for the Singular Hamiltonian System
Yi Liao
Abstr. Appl. Anal. 2014: 1-4 (2014). DOI: 10.1155/2014/703539


By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.


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Yi Liao. "New Periodic Solutions for the Singular Hamiltonian System." Abstr. Appl. Anal. 2014 1 - 4, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022910
MathSciNet: MR3280870
Digital Object Identifier: 10.1155/2014/703539

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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