Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators

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	Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators
	Chen, Peng 1,2; He, Xiaofei 3
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2016-12-01
卷号	39 期号:18 页码:5705-5719
关键词	homoclinic solutions discrete nonlinear difference equation Jacobi operators critical point theory
英文摘要	In this paper, a nonperiodic discrete nonlinear equation with Jacobi operators is considered. By using the critical point theory, we establish some new sufficient conditions on the existence and multiplicity of homoclinic solutions. Recent results are generalized and significantly improved. Furthermore, our results greatly improve some existing ones even for some special cases. Copyright (c) 2016 John Wiley & Sons, Ltd.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	DISCRETE HAMILTONIAN-SYSTEMS ; SUBHARMONIC SOLUTIONS ; ORBITS
收录类别	SCI
语种	英语
WOS记录号	WOS:000388308500045
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9988]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan, Peoples R China 2.China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China 3.Jishou Univ, Dept Math & Comp Sci, Jishou 416000, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Chen, Peng,He, Xiaofei. Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2016,39(18):5705-5719.
APA	Chen, Peng,&He, Xiaofei.(2016).Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,39(18),5705-5719.
MLA	Chen, Peng,et al."Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 39.18(2016):5705-5719.