跨共振点的周期扰动Duffing方程周期解的存在性

The Existence of Periodic Solution of Periodically Perturbed Duffing Equations Acrossing Resonances

讨论Ｄｕｆｆｉｎｅ方程，此处，Ｐ（ｔ）＝ｐ（ｔ＋２π）．在条件：存在常数对，及存在给出了此类方程２π周期解存在的某些充分条件，扩展了已有的结果．

In this paper ,we study Duffing-type equation where g(0)=0.Under the asumption: C￣1 ,there exists a constant K>0 such that,and there exist constants A_o>0,M_o>0 such that ,we obtain some suf-ficient conditions for the existence of 2π-periodic solutions of this kind of equa-tions,which are an extention of the results already known。