Positive solutions for singular nonlinear boundary value problems

被引：59

作者：

Erbe, LH

Mathsen, RM ^{[1
]}

机构：

[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA

[2] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA

[3] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 07期

关键词：

singular equations; positive solutions; fixed-point theorems;

D O I：

10.1016/S0362-546X(00)00147-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The positive solutions for singular nonlinear boundary value problems (BVP) were studied. This problem was initiated by a singular BVP arising in the near-ignition analysis of flame structure. It was proved that BVP is equivalent to the integral equations.

引用

页码：979 / 986

页数：8

共 8 条

[1] Choi Y. S., 1991, DIFFER INTEGRAL EQU, V4, P891
[2] Positive solutions of singular boundary value problems
Dalmasso, R
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (06) : 645 - 652
[3] BOUNDARY-VALUE-PROBLEMS FOR SINGULAR 2ND-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS
ERBE, LH
KONG, QK
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 53 (03) : 377 - 388
[4] MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS
ERBE, LH
HU, SC
WANG, HY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 640 - 648
[5] SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEMS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS
GATICA, JA
OLIKER, V
WALTMAN, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 79 (01) : 62 - 78
[6] KRASNOLSELSKII MA, 1969, POSITIVE SOLUTIONS O
[7] SHI YM, MULTIPLE POSITIVE SO
[8] WONG FH, 1993, TMA, V16, P397

← 1 →