具p-Laplace算子的分数阶微分方程边值问题的正解  

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

作　　者：宋利梅[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《高校应用数学学报（A辑）》2014年第4期443-452,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：广东省教育厅资助项目(GDJG20142449);广东省梅州市科学技术局与嘉应学院联合资助项目(2014KJY03)

摘　　要：考虑具有p-Laplace算子的分数阶泛函微分方程边值问题,利用锥上的不动点定理,得到了其正解及多个正解存在的充分条件,所得结果推广了已有的结论,并举例说明了结论的适用性.The boundary value problem of fractional functional differential equations with p- Laplacian operator are studied. Using the fixed point theorem on cones, sufficient conditions are given for the existence of single and multiple positive solutions. The results generalize some previous results. Several examples are given to illustrate the results.

关 键 词：分数阶泛函微分方程 P-LAPLACE算子 边值问题 不动点定理 正解 

分 类 号：O175.8[理学—数学]