(n-1,1)–型分数阶共轭边值问题的正解（英文）  

POSITIVE SOLUTIONS FOR(n-1,1)–TYPE FRACTIONAL CONJUGATE BOUNDARY VALUE PROBLEM

作　　者：王勇[1] 杨阳[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《数学杂志》2015年第1期35-42,共8页Journal of Mathematics

基　　金：Supported by the NNSF-China(11202084);NSFC-Tian Yuan Special Foundation(11226116);Natural Science Foundation of Jiangsu Province of China for Young Scholar(BK2012109);the China Scholarship Council(201208320435)

摘　　要：本文研究了(n-1,1)–型分数阶共轭边值问题正解的存在性与多解性问题.利用Krasnoselskii–Zabreiko不动点定理,结合与Green函数相关的不等式,获得了几个存在性结果,推广了一些现有的结果.This paper studies the existence and multiplicity of positive solutions for （n-1, 1） type fractional conjugate boundary value problem. By virtue of Krasnoselskii-Zabreiko fixed point theorem, several results are formulated in terms of some inequalities associated with Green＇s func- tion. The results obtained here improve some existing results in the literature.

关 键 词：分数阶边值问题 GREEN函数 正解 不动点定理 

分 类 号：O175.8[理学—数学]