Periodic solutions of some autonomous second order Hamiltonian systems

Journal of Applied Mathematics and Computing - Tập 28 - Trang 51-58 - 2008
Rigao Yang1
1School of Mathematics and Information Science, Guangzhou University, Guangzhou, People’s Republic of China

Tóm tắt

In this paper, we study the existence of periodic solutions of some autonomous second order Hamiltonian systems $$\left\{\begin{array}{l}\ddot{u}(t)=\nabla{H(u(t)),}\\[3pt]u(0)-u(T)=\dot{u}{(0)}-\dot{u}{(T)}=0.\end{array}\right.$$ We obtain some new existence theorems by the least action principle.

Tài liệu tham khảo

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