Positive solutions of singular boundary value problems on the half-line

被引：12

作者：

Wang, Ying ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 197卷 / 02期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

positive solutions; cone; fixed points; half-line;

D O I：

10.1016/j.amc.2007.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the fixed point theory in the cone with a special norm and space, the existence of positive solutions for a class of singular boundary value problems on the half-line is established. Our results improve many known results including singular and non-singular cases. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：789 / 796

页数：8

共 13 条

[1]

Agarwal R. P., 1994, THEORY SINGULAR BOUN

[2] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].

AMANN, H .

SIAM REVIEW, 1976, 18 (04) :620-709

[3] GROUND-STATES OF -DELTA-U=F(U) AND THE EMDEN-FOWLER EQUATION [J].

ATKINSON, FV ;

PELETIER, A .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 93 (02) :103-127

[4]

Erbe L., 1988, DIFFERENTIAL INTEGRA, V1, P71

[5] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

ERBE, LH ;

WANG, HY .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :743-748

[6]

GUO DJ, 1988, NONL PROBL ABASTR CO

[7] Positive solutions of operator equations on half-line [J].

Hao, ZC ;

Liang, J ;

Xiao, TJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :423-435

[8]

KAWANO N, 1993, FUNKC EKVACIOJ-SER I, V36, P557

[9] Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line [J].

Lian, Hairong ;

Ge, Weigao .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) :781-792

[10] Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals [J].

Meehan, M ;

O'Regan, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (03) :355-387

← 1 2 →