p-Laplacian分数微分方程的周期边界问题（英文）  

On Periodic Boundary Problem for p-Laplacian Fractional Differential Equations

作　　者：周辉[1] 周宗福[2] 王莉萍[2] ZHOU Hui;ZHOU Zong-fu;WANG Li-ping(School of Mathematics and Statistics, Hefei Normal University, Hefei 230601;School of Mathematical Science, Anhui University, Hefei 230601)

机构地区：[1]合肥师范学院数学与统计学院,合肥230601 [2]安徽大学数学科学学院,合肥230601

出　　处：《工程数学学报》2017年第1期100-110,共11页Chinese Journal of Engineering Mathematics

基　　金：The Natural Science Foundation of Anhui Province(1608085MA12);the Young Foundation of Hefei Normal University(2015QN19)

摘　　要：本文利用重合度理论,研究了一类具周期边界条件的p-Laplacian分数微分方程解的存在条件.本文的结果改进了已有的结论.In this paper, by using the coincidence degree theory, the existence of solutions for the p-Laplacian fractional differential equations with periodic boundary conditions is studied. The result obtained in this paper extends some known results.

关 键 词：p-拉普拉斯 重合度 存在性 分数阶微分方程 周期边值问题 

分 类 号：O17[理学—数学]