带有积分边界条件的p-Laplacian分数阶微分系统的正解(英文)  

Positive Solutions for Singular p-Laplacian Fractional Differential Equations with Integral Boundary Conditions

作　　者：王莉萍[1] 周宗福[1] 周辉[2] 

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

出　　处：《应用数学》2015年第1期213-223,共11页Mathematica Applicata

基　　金：Supported by the National Natural Science Fundation of China(11071001,11371027);the Natural Science Fundation of Anhui Province(1208085MA13)

摘　　要：本文主要是研究一类带有积分边界条件的p-Laplacian奇异分数阶微分系统的正解,利用指数不动点定理,得到了边值问题至少有两个或2n个正解.The existence of positive solutions for a class of singular p -Laplacian fractional differen- tial equations with integral boundary conditions is investigated. By using fixed-point index theorem, the existence of at least two or 2n positive solutions to the integral boundary value system is ob- tained. One example is given to illustrate the results.

关 键 词：P-LAPLACIAN 奇异微分系统 正解 不动点 积分边界条件 

分 类 号：O175.8[理学—数学]