POSITIVE SOLUTIONS FOR A CLASS OF NONRESONANT BOUNDARY-VALUE PROBLEMS

被引：0

作者：

Zhang, Xuemei ^{[1
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Positive solution; fixed point theorem; existence; complete continuity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem Lx = lambda w(t)f(t, x). We are interested in the operator Lx := -x '' + rho qx when w is in L-p for 1 <= p <= +infinity. Our arguments are based on fixed point theorems in a cone and Holder's inequality. The nonexistence of positive solutions is also studied.

引用

页数：10

共 50 条

[1] MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF NONRESONANT SINGULAR BOUNDARY-VALUE PROBLEMS
Liu, Yansheng
Yan, Baoqiang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[2] POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY-VALUE PROBLEMS
Hai, Dang Dinh
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[3] POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY-VALUE PROBLEMS
Xia, Li
Yao, Zhengan
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[4] Positive solutions for a class of boundary-value problems with integral boundary conditions
Zhang, Xuemei
Ge, Weigao
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) : 203 - 215
[5] MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR BOUNDARY-VALUE PROBLEMS
BROWN, KJ
BUDIN, H
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 60 (02) : 329 - 338
[6] UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC BOUNDARY-VALUE PROBLEMS
CASTRO, A
SHIVAJI, R
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 98 : 267 - 269
[7] POSITIVE SOLUTIONS FOR A CLASS OF NONRESONANT m-POINT BOUNDARY VALUE PROBLEMS
Feng, M.
Zhang, X.
Ge, W.
[J]. JOURNAL OF APPLIED ANALYSIS, 2008, 14 (01) : 115 - 129
[8] ON POSITIVE SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS
COFFMAN, CV
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1967, 3 (01) : 92 - &
[9] Multiple positive solutions for a class of quasilinear elliptic boundary-value problems
Perera, Kanishka
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[10] TRIPLE POSITIVE SOLUTIONS FOR A CLASS OF TWO-POINT BOUNDARY-VALUE PROBLEMS
Bai, Zhanbing
Wang, Yifu
Ge, Weigao
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,

← 1 2 3 4 5 →