On discrete fourth-order boundary value problems with three parameters

被引：31
|
作者：
He, Tieshan [1 ]
Su, Yueliang [2 ]
机构：
[1] Zhongkai Univ Agr & Engn, Dept Comp Sci, Guangzhou 510225, Guangdong, Peoples R China
[2] S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 10期
关键词：
Discrete fourth-order boundary value problems; Green's function; Critical point theory; Strongly monotone operator principle; POSITIVE SOLUTIONS; DIFFERENCE-EQUATIONS; CRITICAL-POINTS; EXISTENCE; MULTIPLICITY;
D O I：
10.1016/j.cam.2009.10.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence, multiplicity, and nonexistence results of nontrivial solutions are obtained for discrete nonlinear fourth-order boundary value problems with three parameters. The methods used here are based on the critical point theory and monotone operator theory. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：2506 / 2520
页数：15
相关论文
共 50 条
  • [41] Existence and uniqueness theorems for fourth-order singular boundary value problems
    Cui, Yujun
    Zou, Yumei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1449 - 1456
  • [42] On eigenvalue intervals and eigenfunctions of fourth-order singular boundary value problems
    Hao, ZC
    Debnath, L
    APPLIED MATHEMATICS LETTERS, 2005, 18 (05) : 543 - 553
  • [43] Multiple Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems
    Lin, Longfei
    Liu, Yansheng
    Zhao, Daliang
    SYMMETRY-BASEL, 2020, 12 (12): : 1 - 13
  • [44] Existence and Uniqueness Theorems for Certain Fourth-order Boundary Value Problems
    Minghe, Pei
    Chang, Sung Kag
    KYUNGPOOK MATHEMATICAL JOURNAL, 2005, 45 (03): : 349 - 356
  • [45] Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation
    Liu, Xia
    Zhou, Tao
    Shi, Haiping
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [46] 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
  • [47] Existence and uniqueness of solutions for singular fourth-order boundary value problems
    Lin, Xiaoning
    Jiang, Daqing
    Li, Xiaoyue
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 196 (01) : 155 - 161
  • [48] Nonzero Solutions for Nonlinear Systems of Fourth-Order Boundary Value Problems
    Agarwal, Ravi P.
    Jleli, Mohamed
    Samet, Bessem
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [49] Constructive approximation of solution for fourth-order nonlinear boundary value problems
    Du, Juan
    Cui, Minggen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (06) : 723 - 737
  • [50] A nonlinear boundary value problem for fourth-order elastic beam equations
    Song, Yuanping
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 11
12345