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.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
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)
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
fractional functional differential equation
p-Laplacian operator
boundary valueproblem
fixed point theorem
positive solution