Existence of Positive Solutions for Fractional Differential Equation with Nonlocal Boundary Condition

被引：9
|
作者：
Gao, Hongliang [1 ]
Han, Xiaoling [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 2011卷
关键词：
D O I：
10.1155/2011/328394
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the fixed point theorem, existence of positive solutions for fractional differential equation with nonlocal boundary condition D-0+(infinity) u(t) + a(t) f(t, u(t)) = 0, 0 < t < 1, u(0) = u(1) = Sigma(infinity)(i-1)alpha(i)u(xi(i)) is considered, where 1 < alpha <= 2 is a real number, Da(0+)(alpha) is the standard Riemann-Liouville differentiation, and xi(i) epsilon (0, 1) , alpha(i) epsilon [0, infinity) with Sigma(infinity)(i=1) alpha(i)xi(alpha-1)(i) < 1, a(t) epsilon C([0, 1], [0, infinity], f(t, u)) epsilon C([0, 1] x [0, infinity),[0, infinity)).
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页数：10
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