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Homoclinic solutions for a class of fourth-order difference equations

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成果类型:
期刊论文
作者:
Shi, Haiping*;Liu, Xia;Zhang, Yuanbiao
通讯作者:
Shi, Haiping
作者机构:
[Shi, Haiping] Guangdong Construct Vocat Technol Inst, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China.
[Liu, Xia] Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha 410128, Hunan, Peoples R China.
[Liu, Xia] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
[Zhang, Yuanbiao] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China.
通讯机构:
[Shi, Haiping] G
Guangdong Construct Vocat Technol Inst, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China.
语种:
英文
关键词:
difference equations;homoclinic solutions;fourth-order;discrete variational theory;subclass34C37;37J45;39A12
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2016
卷:
39
期:
10
页码:
2617-2625
基金类别:
Specialized Research Fund for Doctoral Program of Higher Education of ChinaSpecialized Research Fund for the Doctoral Program of Higher Education (SRFDP) [20114410110002]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11401121]; Natural Science Foundation of Guangdong ProvinceNational Natural Science Foundation of Guangdong Province [S2013010014460]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2015JJ2075]
机构署名:
本校为其他机构
院系归属:
理学院
东方科技学院
摘要:
In this paper, a class of fourth-order nonlinear difference equation is considered. By making use of the critical point theory, we establish various sets of sufficient conditions for the existence of homoclinic solutions and give some new results. One of our results generalizes and improves the results in the literature. Copyright ©2015 John Wiley &Sons,...

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