分数阶泛函微分方程边值问题正解的存在性  

On Existence of Positive Solutions for Boundary Value Problem of Fractional Functional Differential Equation

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：《西南师范大学学报（自然科学版）》2014年第7期1-7,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：广东省梅州市科学技术局与嘉应学院联合资助项目(2012KJA06)

摘　　要：考虑一类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若干充分条件,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 have been studied in this paper.By means of the fixed point theorem on cones,some sufficient conditions for the existence of single and multiple positive solutions have been given,which generalizes some previous results,and ends with several examples given to illustrate the results.

关 键 词：分数阶泛函微分方程 边值问题 正解 存在性 

分 类 号：O175.8[理学—数学]