三阶时滞Duffing方程周期解的存在性

Existence of Periodic Solution For the Third Order Delay Duffing Equation

考虑了三阶时滞Duffing方程,这是一个时滞微分方程.应用重合度延拓定理,证明了该方程至少存在一个周期解.

Duffing equation is a class of vibration equation,which is of many nonlinear chacteraristics,and it is widely applied in the electrical and mechanical fields.In this paper,the third order Duffing equation,which is a delay differential equation,is considered.By means of the theorem of the coincidence degree,the existence of at least one periodic solution of this equation is proved.