运用重合度理论探讨了一类非线性问题的周期解,然后将其应用于磁层-电离层耦合过程中等离子体粒子运动模型的周期解问题的研究,得到了一定条件下该模型存在周期轨的结果.
Using Mawhin’s continuation theorem, we discussed the existence of periodic solution for a class of nonlinear problem, and then investigated the problem of periodic solution of sport model of plasmas particle in the process of magnetosphere-ionosphere coupling. A result on the existence of periodic solution to the model is obtained.