Nonexistence and existence results for a 2th-order discrete mixed boundary value problem

被引：0

作者：

Liu, Xia ^{[1
,2
]}

Zhang, Yuanbiao ^{[3
]}

Shi, Haiping ^{[4
]}

机构：

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

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

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

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2015年 / 109卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonexistence and existence; Mixed boundary value problem; 2nth-order; Mountain Pass Lemma; Discrete variational theory; NONLINEAR DIFFERENCE EQUATION; EMDEN-FOWLER EQUATION; POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; DIRICHLET PROBLEMS; ANNULUS;

D O I：

10.1007/s13398-014-0182-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a 2th-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. Recent results in the literature are generalized and significantly complemented.

引用

页码：303 / 314

页数：12

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