CAJ | 학술논문

建立了一类具有时变刚度,非线性阻尼力和强迫周期力项的相对转动非线性动力系统.运用Mawhin重合度理论,得到了该模型的周期解存在唯一性结果,推广了已有的结果,并且列举了具体的例子来说明本文的结果是新的.
건립료일류구유시변강도,비선성조니력화강박주기력항적상대전동비선성동력계통.운용Mawhin중합도이론,득도료해모형적주기해존재유일성결과,추엄료이유적결과,병차열거료구체적례자래설명본문적결과시신적.
Firstly, the relative rotation nonlinear dynamic system is established, which contains time-varying stiffness, commonly damping force and compulsive periodic force. Secondly, some results of the existence and uniqueness of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The significance is that we generalize the results published in the literature. Furthermore, an example is given to illustrate that our results are new.