【摘要】 利用Fourier级数理论,伯努利数理论和重合度理论研究了一类具偏差变元的高阶泛函微分方程x^（m）（t）+sum from i=1 to m-1 a_ix^（i）（t）+f（x（t））+β（t）g（x（t-τ（t）））=p（t）的周期解问题,得到了周期解存在的充分条件,有意义的是函数β（t）可变号.更多还原

【Abstract】 In this paper,by using the theory of Fourier series,Bernoulli number theory and continuation theorem of coincidence degree theory,we study a kind of high-order functional differential equations with a deviating argument is considered.Some new results on the existence of periodic solutions are obtained.更多还原