Nonresonant singular boundary value problems with sign changing nonlinearities

被引：5
作者：
Agarwal, RP
O'Regan, D
Lakshmikantham, V
Leela, S
机构：
[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[2] SUNY Coll Geneseo, Dept Math, Geneseo, NY 14454 USA
[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 167卷 / 02期
关键词：
D O I：
10.1016/j.amc.2004.08.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence results are established for nonresonant singular Dirichlet boundary value problems. Our nonlinearity may be singular in its dependent variable and is allowed to change sign. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：1236 / 1248
页数：13
相关论文
共 9 条
[1]   An upper and lower solution theory for singular Emden-Fowler equations [J].
Agarwal, RP ;
O'Regan, D ;
Lakshmikantham, V ;
Leela, S .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (02) :275-291
[2]   Positive solutions to superlinear singular boundary value problems [J].
Agarwal, RP ;
O'Regan, D .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) :129-147
[3]   Existence theory for single and multiple solutions to singular positone boundary value problems [J].
Agarwal, RP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 175 (02) :393-414
[4]  
Bobisud LE, 1993, DIFFERENTIAL INTEGRA, V6, P553
[5]   SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEMS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].
GATICA, JA ;
OLIKER, V ;
WALTMAN, P .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 79 (01) :62-78
[6]   POSITIVE SOLUTIONS OF NEGATIVE EXPONENT GENERALIZED EMDEN-FOWLER BOUNDARY-VALUE-PROBLEMS [J].
LUNING, CD ;
PERRY, WL .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (06) :874-879
[7]  
O'Regan D, 1994, THEORY SINGULAR BOUN
[8]  
O'Regan D., 1997, Existence Theory for nonlinear ordinary differential equations
[9]   Singular Dirichlet boundary value problems .1. Superlinear and nonresonant case [J].
ORegan, D .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (02) :221-245
1