具有一般广义阻尼力和强迫周期力的相对转动非线性动力学模型的周期解

Periodic solution of relative rotation nonlinear dynamic model with commonly damped force and forcing periodic force

研究了一类具有一般广义阻尼力和强迫周期力项的相对转动非线性动力学模型的周期解问题.讨论了对应自治系统的周期解问题.运用Mawhin重合度理论,得到了该模型的周期解存在惟一性结果,推广了已有的结果,并且列举了具体的例子来说明结果的新颖性.

The periodic problem of the corresponding autonomous system is discussed. Some results on the existence and uniqueness of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The results available from the literature are generalized. Furthermore, an example is given to illustrate our results are new.