中文摘要：

通过使用Mawhin连续性定理，研究四阶p-Laplacian微分方程多时滞问题（Фp（x″（t）））″＋f（t,x″（t））＋^n∑i=1βi（t）g（x（t-γi（t）））=p（t）周期解的存在性，并得到了存在周期解的充分性条件．

英文摘要：

By using the theory of coincidence degree, we study a kind of periodic solutions to a fourth order p-Laplacian differential equation with multiple deviating arguments as follows （Фp（x″（t）））″＋f（t,x″（t））＋^n∑i=1βi（t）g（x（t-γi（t）））=p（t）Under various assumptions, new results on the existence of periodic solutions are obtained