Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem

被引：1

作者：

Liu, Xia ^{[1
,2
]}

Shi, Haiping ^{[3
]}

Zhang, Yuanbiao ^{[4
]}

机构：

[1] Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha 410128, Peoples R China

[2] Hunan Agr Univ, Coll Sci, Changsha 410128, Peoples R China

[3] Guangdong Construct Vocat Technol, Modern Business & Management Dept, Guangzhou 510450, Guangdong, Peoples R China

[4] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2014年 / 124卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonexistence and existence; fourth-order; mixed boundary value problem; Mountain Pass lemma; discrete variational theory; 2ND-ORDER DIFFERENCE-EQUATIONS; EMDEN-FOWLER EQUATION; POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; DIRICHLET PROBLEMS; MULTIPLE SOLUTIONS; BEAM EQUATIONS; ANNULUS;

D O I：

10.1007/s12044-014-0176-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a fourth-order nonlinear difference equation is considered. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for mixed boundary value problem and give some new results. Results obtained generalize and complement the existing ones.

引用

页码：179 / 191

页数：13

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