scholarly journals Subharmonic Solutions of Second Order Subquadratic Hamiltonian Systems with Potential Changing Sign

2000 ◽  
Vol 244 (2) ◽  
pp. 291-303 ◽  
Author(s):  
Mei-Yue Jiang
Keyword(s):  
Hamiltonian Systems ◽  
Second Order ◽  
Subharmonic Solutions

One-Signed Harmonic Solutions and Sign-Changing Subharmonic Solutions to Scalar Second Order Differential Equations

2012 ◽  
Vol 12 (3) ◽  
Author(s):  
Alberto Boscaggin
Keyword(s):  
Fixed Point ◽  
Continuous Function ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Point Theorem ◽  
Second Order ◽  
Second Order Differential Equations ◽  
Subharmonic Solutions

AbstractUsing a recent modified version of the Poincaré-Birkhoff fixed point theorem [19], we study the existence of one-signed T-periodic solutions and sign-changing subharmonic solutions to the second order scalar ODEu′′ + f (t, u) = 0,being f : ℝ × ℝ → ℝ a continuous function T-periodic in the first variable and such that f (t, 0) ≡ 0. Partial extensions of the results to a general planar Hamiltonian systems are given, as well.

scholarly journals Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Hairong Lian ◽  
Dongli Wang ◽  
Zhanbing Bai ◽  
Ravi P Agarwal
Keyword(s):  
Hamiltonian Systems ◽  
Second Order ◽  
Subharmonic Solutions
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