A non-autonomous Hamiltonian system on time scales

作者：Su You Hui; Feng Zhaosheng^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2012, 75(10): 4126-4136.

DOI：10.1016/j.na.2012.03.003

• Time scales
• Hamiltonian system
• Periodic solution
• Critical-point theorem
• Saddle point theorem

In this paper we are concerned with a second order non-autonomous Hamiltonian system on time scales T of the form
{u(Delta 2)(t) = del F(sigma(t), u(sigma)(t)), Delta-a.e.t is an element of [0, T](T kappa),
u(0) - u(T) = 0, u(Delta)(0) - u(Delta)(T) = 0.
Some results on the existence and multiplicity of periodic solutions are obtained for the Hamiltonian system by means of the saddle point theorem, the least action principle as well as the three-critical-point theorem.

• 出版日期2012-6
• 单位徐州工程学院