NONEXISTENCE AND EXISTENCE RESULTS FOR A 2nth-ORDER DISCRETE DIRICHLET BOUNDARY VALUE PROBLEM

被引：4
|
作者：
Shi, Haiping [1 ]
Liu, Xia [2 ,3 ]
Zhang, Yuanbiao [4 ]
机构：
[1] Guangdong Construct Vocat Technol Inst, Modern Business & Management Dept, Guangzhou 510450, Guangdong, Peoples R China
[2] Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha 410128, Hunan, Peoples R China
[3] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China
[4] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China
来源：
KODAI MATHEMATICAL JOURNAL | 2014年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonexistence and existence; Dirichlet boundary value problem; 2nth-order; Mountain Pass Lemma; Discrete variational theory; PERIODIC-SOLUTIONS; POSITIVE SOLUTIONS; HOMOCLINIC SOLUTIONS; SUBHARMONIC SOLUTIONS; MULTIPLE SOLUTIONS; DIFFERENCE; EQUATIONS; SYSTEMS; ORBITS;
D O I：
10.2996/kmj/1404393901
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with a 2nth-order nonlinear difference equation. By making use of the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Dirichlet boundary value problem and give some new results. The existing results are generalized and significantly complemented.
引用
收藏
页码：492 / 505
页数：14
相关论文
共 50 条
  • [1] NONEXISTENCE AND EXISTENCE RESULTS FOR A 2nTH-ORDER p-LAPLACIAN DISCRETE NEUMANN ROUNDARY VALUE PROBLEM
    Shi, H.
    Liu, X.
    Zhang, Y.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (06) : 1507 - 1521
  • [2] Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (04): : 855 - 866
  • [3] ON THE NONEXISTENCE AND EXISTENCE OF SOLUTIONS FOR A FOURTH-ORDER DISCRETE DIRICHLET BOUNDARY VALUE PROBLEM
    Liu, Xia
    Shi, Haiping
    Zhang, Yuanbiao
    QUAESTIONES MATHEMATICAE, 2015, 38 (02) : 203 - 216
  • [4] NUMERICAL METHOD FOR A 2NTH-ORDER BOUNDARY VALUE PROBLEM
    Xu, Chenmei
    Jian, Shuai
    Wang, Bo
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 715 - 725
  • [5] Existence and nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem
    X. Liu
    Y. Zhang
    H. Shi
    Journal of Contemporary Mathematical Analysis, 2014, 49 : 287 - 295
  • [6] Existence and nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem
    Liu, X.
    Zhang, Y.
    Shi, H.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2014, 49 (06): : 287 - 295
  • [7] ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS
    Pei Minghe (Dept. of Math.
    Annals of Differential Equations, 2005, (02) : 183 - 191
  • [8] Nonexistence and existence results for a 2th-order discrete mixed boundary value problem
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2015, 109 (02) : 303 - 314
  • [9] EXISTENCE AND NONEXISTENCE RESULTS FOR A FOURTH-ORDER DISCRETE NEUMANN BOUNDARY VALUE PROBLEM
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2014, 51 (02) : 186 - 200
  • [10] Existence of positive solutions for 2nth-order singular sublinear boundary value problems
    Wei, ZL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (02) : 619 - 636
12345