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Multiple Periodic Solutions for Discrete Hamiltonian Systems
Jianshe Yu 1 * #,Honghua Bin 2,Zhiming Guo 1
1.Guangzhou University
2.Hunan University
*Correspondence author
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Funding: 国家自然科学基金,广东省自然科学基金(No.10471029,,04300034)
Opened online:12 December 2005
Accepted by: none
Citation: Jianshe Yu,Honghua Bin,Zhiming Guo.Multiple Periodic Solutions for Discrete Hamiltonian Systems[OL]. [12 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4232
 
 
Several existence results of multiple periodic solutions for discrete Hamiltonian system are established. In this paper two cases are discussed which the nonlinearity is either asymptotically linear or superlinear at infinity. The approach used here is based on Morse theory.
Keywords:Morse theory; discrete Hamiltonian systems; asymptotically linear; superlinear; periodic solution
 
 
 

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