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

[21] Positive solutions for a class of fractional boundary value problems
Xu, Jiafa
Wei, Zhongli
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (01): : 1 - 17
[22] Positive solutions to a class of elliptic boundary value problems
Hai, DD
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 227 (01) : 195 - 199
[23] SYMMETRIC POSITIVE SOLUTIONS FOR φ-LAPLACIAN BOUNDARY-VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Yang, Wengui
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[24] POSITIVE SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS ON INFINITE INTERVALS
Yu, Changlong
Wang, Jufang
Guo, Yanping
Wei, Huixian
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[25] CLASS OF NONLINEAR BOUNDARY-VALUE PROBLEMS
KANNAN, R
LOCKER, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 26 (01) : 1 - 8
[26] A class of semilinear boundary-value problems
Moroz, VB
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1998, 42 (05): : 30 - 33
[27] POSITIVE SOLUTIONS OF A BOUNDARY-VALUE PROBLEM
HANKERSON, D
PETERSON, A
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1990, 20 (04) : 997 - 1002
[28] BOUNDS FOR SOLUTIONS OF BOUNDARY-VALUE PROBLEMS
BANDLE, C
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 54 (03) : 706 - 716
[29] POSITIVE SOLUTIONS FOR NONLINEAR PARABOLIC SECOND INITIAL BOUNDARY-VALUE PROBLEMS
CHAN, CY
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1974, 31 (04) : 443 - 454
[30] NUMBER OF BOUNDED POSITIVE SOLUTIONS OF THE EXTERIOR ELLIPTIC BOUNDARY-VALUE PROBLEMS
OGATA, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (01) : 17 - 34

← 1 2 3 4 5 →