New Periodic Solutions for the Singular Hamiltonian System

Yi Liao

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:703539

DOI: 10.1155/2014/703539

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