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

页码：492 / 505

页数：14

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