一类奇性的p-Laplacian-Rayleigh方程的周期正解的存在性  

POSITIVE PERIODIC SOLUTIONS FOR A KIND OF P-LAPLACIAN-RAYLEIGH EQUATION WITH SINGULARITY

作　　者：陈仕洲[1] 

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《井冈山大学学报（自然科学版）》2016年第4期6-8,共3页Journal of Jinggangshan University (Natural Science)

基　　金：广东省高等教育教学改革项目(GDJG20142396);韩山师范学院理科团队项目(LT201202)

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。Based on the continuation theorem of coincidence degree, we study a kind of p-Laplacian-Rayleigh equation with a singularity. Some new sufficient conditions for the existence of positive periodic solutions are obtained. The results have extended and improved the related reports in the literatures.

关 键 词：p-Laplacian-Rayleigh方程 周期正解 奇性 重合度理论 

分 类 号：O175.12[理学—数学]