一类非线性分数阶微分方程边值问题正解的存在性  

Existence of Positive Solutions to Boundary Value Problem for a Nonlinear Fractional 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：《华南师范大学学报（自然科学版）》2012年第2期25-28,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：广东省自然科学基金项目(10151063101000003);梅州市科学技术局与嘉应学院联合资助项目(2010KJA34)

摘　　要：研究了一类非线性分数阶微分方程边值问题正解的存在性.主要方法是锥内的Krasnosel’skii不动点定理的应用.结果表明:只要非线性项在某些有界集合上的"高度"是适当的,该问题有n个正解(n是一个任意给定的正整数).The existence of positive solutions to a boundary value problem for a nonlinear fractional differential e-quation is investigated. The main method is the application of Krasnosel＇skii fixed - point theorem in cone. Themain results show that the boundary value problem has at least n positive solutions provided that the ＂height＂ of thenonlinear term is appropriate on some bounded sets （n is a positive integer number arbitrarily given）.

关 键 词：分数阶微分方程 边值问题 正解 存在性 

分 类 号：O175.8[理学—数学]