EXISTENCE OF POSITIVE SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS FOR SINGULAR HIGHER-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Bai, Chuanzhi ^{[1
,2
]}

Yang, Qing ^{[1
]}

Ge, Jing ^{[1
]}

机构：

[1] Huaiyin Teachers Coll, Dept Math, Huaian 223001, Jiangsi, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Boundary value problem; higher-order; positive solution; functional differential equation; 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：

We study the existence of positive solutions for the boundaryvalue problem of the singular higher-order functional differential equation (Ly((n-2)))(t) + h(t) f(t, y(t)) = 0, for t is an element of [0, 1], y((i))(0) = 0, 0 <= i <= n - 3, alpha y((n-2))(t) - beta y((n-1))(t) = eta(t), for t is an element of [-tau, 0], gamma y((n-2))(t) + delta y((n-1))(t) = xi(t), for t is an element of [1, 1 + alpha], where Ly := -(py')' + qy, p is an element of C([ 0, 1], ( 0,+ infinity)), and q is an element of C([ 0, 1], [ 0,+ infinity)). Our main tool is the fixed point theorem on a cone.

引用

页数：11

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