Existence of positive solutions to singular semi-positone boundary value problems

被引：8

作者：

Agarwal, RP ^{[1
]}

Stanek, S

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77900, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 05期

关键词：

singular boundary value problem; positive solution; topological transversality;

D O I：

10.1016/S0362-546X(01)00864-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions to singular semi-positone boundary value problems was investigated. The differential equations with the Dirichlet boundary conditions were considered for the purpose. The functions used in the analysis were assumed to satisfy certain conditions such as nonnegativity and continuity.

引用

页码：821 / 842

页数：22

共 11 条

[1] Agarwal R.P., 1999, POSITIVE SOLUTIONS D
[2] Singular initial and boundary value problems with sign changing nonlinearities
Agarwal, RP
O'Regan, D
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2000, 65 (02) : 173 - 198
[3] A note on existence of nonnegative solutions to singular semi-positone problems
Agarwal, RP
O'Regan, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (05) : 615 - 622
[4] Nonlinear superlinear singular and nonsingular second order boundary value problems
Agarwal, RP
O'Regan, D
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 143 (01) : 60 - 95
[5] GRANAS A, 1991, J MATH PURE APPL, V70, P153
[6] GRANAS A, 1985, THESIS WARSAW, V244
[7] Approximations of solutions to some second order nonlinear differential equations
Okrasinski, W
Vila, S
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (08) : 1061 - 1072
[8] OKRASINSKI W, 1989, ANN POL MATH, V49, P237
[9] STANEK S, 2000, APPL ANAL, V74, P351
[10] STANEK S, 1993, ANN POL MATH, V58, P65

← 1 2 →