scholarly journals Notes on multiple periodic solutions for second-order discrete Hamiltonian system

2017 ◽  
Vol 32 (4) ◽  
pp. 544-552 ◽  
Author(s):  
Liang Ding ◽  
Jinlong Wei
Keyword(s):  
Hamiltonian System ◽  
Periodic Solutions ◽  
Second Order ◽  
Discrete Hamiltonian System ◽  
Multiple Periodic Solutions

Non-constant periodic solutions for second order Hamiltonian system with a p-Laplacian

2012 ◽  
Vol 62 (2) ◽  
Author(s):  
Xingyong Zhang ◽  
Xianhua Tang
Keyword(s):  
Hamiltonian System ◽  
Periodic Solutions ◽  
Existence Theorems ◽  
Second Order ◽  
Linking Theorem ◽  
Order Hamiltonian System ◽  
Second Order Hamiltonian System

AbstractIn this paper, some existence theorems are obtained for nonconstant periodic solutions of second order Hamiltonian system with a p-Laplacian by using the Linking Theorem.

Study on the Periodic Solutions to a Superquadratic Discrete Hamiltonian System Based on Mechanics

2013 ◽  
Vol 394 ◽  
pp. 92-95
Author(s):  
Da Wei Sun ◽  
Jia Rui Liu
Keyword(s):  
Hamiltonian System ◽  
Variational Methods ◽  
Periodic Solutions ◽  
Existence Of Solution ◽  
Discrete Hamiltonian System ◽  
New Type ◽  
Discrete Type

This paper studies the periodic solutions to a superquadratic second-oder discrete type Hamiltonian system in the n dimensional Euclide space. By the variational methods and some discrete computional techniques, this paper proves the existence of solution to a new type discrete Hamiltonian system.

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