Three symmetric positive solutions for a second-order boundary value problem

被引：137

作者：

Avery, RI ^{[1
]}

Henderson, J

机构：

[1] Dakota State Univ, Coll Nat Sci, Madison, SD 57042 USA

[2] Auburn Univ, Dept Math, Auburn, AL 36849 USA

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 03期

关键词：

boundary value problem; Green's function; multiple solutions;

D O I：

10.1016/S0893-9659(99)00177-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the second-order boundary value problem, y " + f(y) = 0, 0 less than or equal to t less than or equal to 1, y(0) = 0 = y(1), where f : R --> [0, infinity), growth conditions are imposed on f which yield the existence of at least three symmetric positive solutions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1 / 7

页数：7

共 18 条

[1] Agarwal R.P., 1999, POSITIVE SOLUTIONS D
[2] AGARWAL RP, 1996, COMPUT MATH APPL, V32, P1
[3] AVERY R. I., 1998, Panam. Math. J., V8, P1
[4] AVERY RI, IN PRESS MSR HOT LIN
[5] AVERY RI, 1998, MSR HOT LINE, V2, P1
[6] DAVIS JM, IN PRESS J MATH ANAL
[7] Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7
[8] Positive solutions for (n-1,1) conjugate boundary value problems
Eloe, PW
Henderson, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (10) : 1669 - 1680
[9] Erbe L.H., 1991, ROCKY MOUNTAIN J MAT, V17, P1
[10] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS
ERBE, LH
WANG, HY
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) : 743 - 748

← 1 2 →