鞍点归约法在非自治二阶系统中的应用

The Application of the Saddle Point reduction methods On the Nonautonomous Second Order System

在非自治二阶系统解得讨论中,通过将系统的约束空间分解为两个子空间的直和,利用子空间的特性,运用鞍点归约方法,先在子空间上寻找解,进而推广到约束空间上的解,得到了关于非自治二阶系统新的解的存在性定理。

In considering the non-autonomous second order system, we divided the space of the system into two subspaces. By the virtue of characterize of the subspaee, we applied the saddle point reduction method to the subspace, and found the solution in the subspace. Hence, we gained a new existences theorem on the non-autonomous second order system in the space.