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Generalizations on Rabinowitz’s Theorems
Zhang Shiqing *
Sichuan University
*Correspondence author
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Funding: 国家自然科学基金,教育部博士点基金（No.,）
Opened online:20 February 2009
Accepted by: none
Citation: Zhang Shiqing.Generalizations on Rabinowitz’s Theorems[OL]. [20 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29417
 
 
We use the famous Benci-Rabinowitz’s Saddle Point Theorem ([3])with Cerami-Palais-Smale condition to study the existence of new periodic solutions with a fixed period for second order Hamiltonian systems under weaker conditions than Rabinowitz’s original conditions in his pioneer paper([11]),the key point of our proof is proving Cerami-Palais-Smale condition,which is difficult since no symmetry for the potential. We use Rabinowitz’s Saddle Point Theorem to study periodic solution for sub-quadratic second order Hamiltonian systems.
Keywords:Second order Hamiltonian systems;Periodic solutions;Saddle Point Theorems
 
 
 

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