Existence of Non-Spurious Solutions to Discrete Fourth-Order Lidstone Boundary Value Problems

doi:10.1007/s41980-020-00383-9

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	Existence of Non-Spurious Solutions to Discrete Fourth-Order Lidstone Boundary Value Problems
	Wang, Jinxiang
刊名	BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
	2020-04-06
卷号	47 期号:2 页码:287-306
关键词	Fourth-order equation Lower and upper solutions Brouwer fixed point theorem Non-spurious solutions Arzela-Ascoli theorem Approximations
ISSN号	1017-060X
DOI	10.1007/s41980-020-00383-9
英文摘要	In this paper, we study boundary value problems of difference equations which arise as discrete approximations to Lidstone boundary value problems of fourth-order ordinary differential equations. By developing the method of lower and upper solutions, we investigate the existence of solutions as well as the nonexistence of spurious solutions to the discrete problems.
资助项目	NSFC[11961043][11801453]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER SINGAPORE PTE LTD
WOS记录号	WOS:000525278300001
状态	已发表
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/64221]
专题	理学院材料科学与工程学院
通讯作者	Wang, Jinxiang
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jinxiang. Existence of Non-Spurious Solutions to Discrete Fourth-Order Lidstone Boundary Value Problems[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY,2020,47(2):287-306.
APA	Wang, Jinxiang.(2020).Existence of Non-Spurious Solutions to Discrete Fourth-Order Lidstone Boundary Value Problems.BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY,47(2),287-306.
MLA	Wang, Jinxiang."Existence of Non-Spurious Solutions to Discrete Fourth-Order Lidstone Boundary Value Problems".BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 47.2(2020):287-306.