POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY-VALUE PROBLEMS

被引：0

作者：

Xia, Li ^{[1
]}

Yao, Zhengan ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

基金：

中国国家自然科学基金;

关键词：

Upper and lower solution; existence; singular equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using regularization and the sub-super solutions method, this note shows the existence of positive solutions for singular differential equation subject to four-point boundary conditions.

引用

页数：5

共 8 条

[1] Nonresonant singular boundary value problems with sign changing nonlinearities [J].

Agarwal, RP ;

O'Regan, D ;

Lakshmikantham, V ;

Leela, S .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (02) :1236-1248

[2] EXISTENCE AND MULTIPLICITY THEOREMS FOR SEMI-LINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].

AMANN, H .

MATHEMATISCHE ZEITSCHRIFT, 1976, 150 (03) :281-295

[3] Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation [J].

Barenblatt, GI ;

Bertsch, M ;

Chertock, AE ;

Prostokishin, VM .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (18) :9844-9848

[4] DISCONTINUOUS VISCOSITY SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION [J].

BERTSCH, M ;

DALPASSO, R ;

UGHI, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 320 (02) :779-798

[5] POSITIVITY PROPERTIES OF VISCOSITY SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION [J].

BERTSCH, M ;

UGHI, M .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (07) :571-592

[6] Positive solutions of singular ordinary differential equations with nonlinear boundary conditions [J].

Guo, YP ;

Shan, WR ;

Ge, WG .

APPLIED MATHEMATICS LETTERS, 2005, 18 (01) :1-9

[7] Positive solutions for nonlinear eigenvalue problems [J].

Henderson, J ;

Wang, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (01) :252-259

[8] EXISTENCE THEOREMS FOR A SINGULAR 2-POINT DIRICHLET PROBLEM [J].

TINEO, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (04) :323-333

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