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
收藏
页数：13
相关论文
共 50 条
  • [1] POSITIVE SOLUTIONS OF SINGULAR FOURTH-ORDER BOUNDARY-VALUE PROBLEMS
    Cui, Yujun
    Zou, Yumei
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
  • [2] Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces
    Kang, Ping
    Wei, Zhongli
    Xu, Juanjuan
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 245 - 256
  • [3] MULTIPLE POSITIVE SOLUTIONS TO FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEMS
    Jinjun Fan(School of Mathematical Science
    Annals of Applied Mathematics, 2011, (01) : 9 - 12
  • [4] MULTIPLE POSITIVE SOLUTIONS TO A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
    Cabada, Alberto
    Precup, Radu
    Saavedra, Lorena
    Tersian, Stepan A.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [5] Positive solutions of fourth-order nonlinear singular boundary value problems
    Xu, Fuyi
    Su, Hua
    Zhang, Xiaoyan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) : 1284 - 1297
  • [6] Positive solutions of fourth-order superlinear singular boundary value problems
    Shi, GL
    Chen, SZ
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (01) : 95 - 104
  • [7] Multiple positive solutions of fourth-order boundary value problems
    Xu, XJ
    Jiang, DQ
    O'Regan, D
    Agarwal, RP
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (01): : 79 - 88
  • [8] Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces
    Cui, Yujun
    Sun, Jingxian
    BOUNDARY VALUE PROBLEMS, 2012,
  • [9] Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces
    Yujun Cui
    Jingxian Sun
    Boundary Value Problems, 2012
  • [10] Multiple Solutions to Boundary-Value Problems for Fourth-Order Elliptic Equations
    Duong Trong Luyen
    Mai Thi Thu Trang
    Ukrainian Mathematical Journal, 2023, 75 : 950 - 963
12345