一类具有分布时滞高阶微分方程的周期解

摘要

利用Mawhin重合度理论，研究了一类具有分布时滞的高阶P—Laplacian中立型微分方程，获得了其周期解存在性的一些新结果．%By using the continuation theorem of coincidence degree theory developed by Mawhin, we study a kind of high-order p-Laplacian neutral functional differential equation with distributed delay arguments. Some new results on the existence of periodic solutions are obtained.