Optimal lower bound for the first eigenvalue of fourth order measure differential equation

doi:10.1186/s13661-018-1110-z

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	Optimal lower bound for the first eigenvalue of fourth order measure differential equation
	Lijuan,Zhou 1; Gang,Meng 2
	2018-12-12
发表期刊	Boundary Value Problems
ISSN	1687-2770
卷号	2018 期号:1
摘要	AbstractIn this paper, we will find an explicit optimal lower bound for the first eigenvalue of a fourth order measure differential equation, motivated by physical problems when some physically meaningful measurement is fixed. We establish a variational characterization for the first eigenvalue of the fourth order measure differential equation and find the explicit optimal lower bound for the first eigenvalue. As an application, we will find the explicit optimal lower bound for the first eigenvalue of a vibrating beam which represents the smallest axial compressive force necessary to cause the beam to buckle.
关键词	Eigenvalue Fourth order equation Minimization problem Optimal lower bound
DOI	10.1186/s13661-018-1110-z
语种	英语
WOS记录号	BMC:10.1186/s13661-018-1110-z
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31500
专题	中国科学院数学与系统科学研究院
通讯作者	Lijuan,Zhou
作者单位	1. 2.
推荐引用方式 GB/T 7714	Lijuan,Zhou,Gang,Meng. Optimal lower bound for the first eigenvalue of fourth order measure differential equation[J]. Boundary Value Problems,2018,2018(1).
APA	Lijuan,Zhou,&Gang,Meng.(2018).Optimal lower bound for the first eigenvalue of fourth order measure differential equation.Boundary Value Problems,2018(1).
MLA	Lijuan,Zhou,et al."Optimal lower bound for the first eigenvalue of fourth order measure differential equation".Boundary Value Problems 2018.1(2018).