一类具有奇性p-Laplacian-Rayleigh方程的周期正解

摘要

利用重合度理论，研究一类具有奇性的p-Laplacian-Rayleigh方程，获得其周期正解存在性新的充分条件，推广和改进了已有文献中的相关结论。%By using the continuation theorem of coincidence degree, a kind of p-Laplacian-Rayleigh equation is studied with a singularity and a deviating argument. Some new sufficient conditions for the existence of positive periodic solutions are obtained. The results have extended and improved the related reports in the lit-eratures.