Abstract and Applied Analysis

New Periodic Solutions for the Singular Hamiltonian System

Yi Liao

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 703539, 4 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049861

Digital Object Identifier
doi:10.1155/2014/703539

Mathematical Reviews number (MathSciNet)
MR3280870

Zentralblatt MATH identifier
07022910

Citation

Liao, Yi. New Periodic Solutions for the Singular Hamiltonian System. Abstr. Appl. Anal. 2014 (2014), Article ID 703539, 4 pages. doi:10.1155/2014/703539. https://projecteuclid.org/euclid.aaa/1425049861


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