MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL SINGULAR BOUNDARY VALUE PROBLEMS

被引:0
作者
Tian, Congcong [1 ]
Liu, Yansheng [1 ]
机构
[1] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China
来源
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2012年 / 56卷
关键词
Singular boundary value problem; cone; positive solution; fractional derivative; Caputo's fractional integral; fixed point;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For (n - 1, n] order singular fractional differential equations, conditions are established guaranteeing, respectively the existence of multiple positive solutions and the nonexistence of a positive solution of a class of boundary value problems.
引用
收藏
页码:115 / 131
页数:17
相关论文
共 13 条
[1]  
Atici FM, 2009, P AM MATH SOC, V137, P981
[2]  
ATICIAND F. M., 2009, ELECT J QUAL THEORY
[3]  
Guo D., 1985, NONLINEAR FUNCTIONAL
[4]  
Kaufmann E. R., 2009, DISCRETE CONTIN DY S, V2009, P416
[5]   Positive solutions of semilinear differential equations with singularities [J].
Lan, K ;
Webb, JRL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 148 (02) :407-421
[6]  
LIU Y., 2006, ELECT J DIFFERENTIAL
[7]   Twin solutions to singular semipositone problems [J].
Liu, YS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (01) :248-260
[8]   Singular Dirichlet boundary value problems .1. Superlinear and nonresonant case [J].
ORegan, D .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (02) :221-245
[9]  
Podlubny I, 1999, MATH SCI ENG
[10]  
Qiu TT, 2008, ELECTRON J DIFFER EQ