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New Periodic Solutions for the Singular Hamiltonian System

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  • Yi Liao

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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:703539
DOI: 10.1155/2014/703539
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