scholarly journals Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system

2018 ◽  
Vol 75 ◽  
pp. 7-12 ◽  
Author(s):  
Xiaoping Wang
Keyword(s):  
Hamiltonian System ◽  
Second Order ◽  
Homoclinic Solutions ◽  
Order Hamiltonian System ◽  
Second Order Hamiltonian System

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.

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