MULTIPLE POSITIVE SOLUTIONS TO FOURTH-ORDER SINGULAR BOUNDARY-VALUE PROBLEMS IN ABSTRACT SPACES

被引：0

作者：

Liu, Yansheng ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年

关键词：

Banach space; singularity; positive solution; fourth order equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of multiple positive solutions to singular boundary-value problems for fourth-order equations in abstract spaces. Our results improve and extend that obtained in [14, 15, 16], even in the scalar case.

引用

页数：13

共 50 条

[31] TWIN POSITIVE SOLUTIONS FOR FOURTH-ORDER TWO-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES
Tian, Yu
Ge, Weigao
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[32] Optimal existence theory for single and multiple positive solutions to fourth-order periodic boundary value problems
Jiang, Daqing
Liu, Huizhao
Zhang, Lili
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) : 841 - 852
[33] Multiple positive solutions of singular dirichlet second-order boundary-value problems with derivative dependence
Ravi P. Agarwal
Donal O’Regan
Baoqiang Yan
Journal of Dynamical and Control Systems, 2009, 15 : 1 - 26
[34] MULTIPLE POSITIVE SOLUTIONS OF SINGULAR DIRICHLET SECOND-ORDER BOUNDARY-VALUE PROBLEMS WITH DERIVATIVE DEPENDENCE
Agarwal, Ravi P.
O'Regan, Donal
Yan, Baoqiang
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2009, 15 (01) : 1 - 26
[35] POSITIVE SOLUTIONS FOR SEMIPOSITONE FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS
Yang, Dandan
Zhu, Hongbo
Bai, Chuanzhi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[36] A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
Yao, Qingliu
ANNALES POLONICI MATHEMATICI, 2013, 109 (03) : 311 - 325
[37] Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
Hao, Xinan
Liu, Lishan
Wu, Yonghong
Xu, Naiwei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (07) : 1880 - 1890
[38] Multiple symmetric positive solutions of fourth-order two point boundary value problem
Ma D.-X.
Ge W.-G.
Journal of Applied Mathematics and Computing, 2006, 22 (1-2) : 295 - 306
[39] MULTIPLE POSITIVE SOLUTIONS FOR SINGULAR MULTI-POINT BOUNDARY-VALUE PROBLEMS WITH A POSITIVE PARAMETER
Kim, Chan-Gyun
Lee, Eun Kyoung
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[40] Positive solutions of singular sub-linear boundary value problems for fourth-order and second-order differential equation systems
Wei, Zhongli
Zhang, Mingchuan
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) : 135 - 148

← 1 2 3 4 5 →