Periodic solutions of some autonomous second order Hamiltonian systems
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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