New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems

作者：Wu Xian^*; Chen Shao Xiong; Zhao Fukun

来源：Mathematical and Computer Modelling, 2007, 46(3-4): 550-556.

DOI：10.1016/j.mcm.2006.11.019

• critical point
• periodic solution
• second order Hamiltonian system
• sobolev's inequality

the present paper, the non-autonomous second order Hamiltonian systems
<(u)double over dot> (t) = del F (t, u (t)), a.e. t is an element of [0, T] u(0) - u(T) = <(u)over dot>(0) - <(u)over dot>(T) = 0,
are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained.

• 出版日期2007-8
• 单位云南师范大学