Positive solutions for nonlinear semipositone nth-order boundary value problems

被引：1

作者：

Xie, Dapeng ^{[1
,2
]}

Bai, Chuanzhi ^{[2
]}

Liu, Yang ^{[1
,2
]}

Wang, Chunli ^{[1
,2
]}

机构：

[1] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China

[2] Huaiyin Teachers Coll, Dept Math, Huaian 223300, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2008年 / 07期

关键词：

boundary value problem; positive solution; semipositone; 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：

In this paper, we investigate the existence of positive solutions for a class of nonlinear semi-positone nth-order boundary value problems. Our approach relies on the Krasnosel'skii fixed point theorem. The result of this paper complement and extend previously known result.

引用

页码：1 / 12

页数：12

共 10 条

[1]

Agarwal R.P., 1986, BOUND VALUE PROBL

[2] Semipositone higher-order differential equations [J].

Agarwal, RP ;

Grace, SR ;

O'Regan, D .

APPLIED MATHEMATICS LETTERS, 2004, 17 (02) :201-207

[3] Multiplicity results for singular conjugate, focal, and (n, p) problems [J].

Agarwal, RP ;

O'Regan, D .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 170 (01) :142-156

[4]

BAI C, 2006, ELECT J DIFFERENTIAL, P1

[5] Positive solutions and eigenvalue ntervals of nonlocal boundary value problems with delays [J].

Bai, Dingyong ;

Xu, Yuantong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) :1152-1166

[6] Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions [J].

Eloe, PW ;

Ahmad, B .

APPLIED MATHEMATICS LETTERS, 2005, 18 (05) :521-527

[7] Singular nonlinear (k,n-k) conjugate boundary value problems [J].

Eloe, PW ;

Henderson, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (01) :136-151

[8]

GUO D, 1988, NONL PROBL ABSTR CON

[9] Positive solutions for nonlinear nth-order singular nonlocal boundary value problems [J].

Hao, Xin'an ;

Liu, Lishan ;

Wu, Yonghong .

BOUNDARY VALUE PROBLEMS, 2007, 2007 (1)

[10]

Yang D., 2007, ELECT J DIFFERENTIAL, V16, P1

← 1 →