中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Optimal lower bound for the first eigenvalue of fourth order measure differential equation

文献类型:期刊论文

作者Lijuan,Zhou1; Gang,Meng2
刊名Boundary Value Problems
出版日期2018-12-12
卷号2018期号:1
关键词Eigenvalue Fourth order equation Minimization problem Optimal lower bound
ISSN号1687-2770
DOI10.1186/s13661-018-1110-z
英文摘要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.
语种英语
WOS记录号BMC:10.1186/S13661-018-1110-Z
出版者Springer International Publishing
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31499]  
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).

入库方式: OAI收割

来源:数学与系统科学研究院

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