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Optimal lower bound for the first eigenvalue of fourth order measure differential equation
Lijuan,Zhou1; Gang,Meng2
2018-12-12
Source PublicationBoundary Value Problems
ISSN1687-2770
Volume2018Issue:1
AbstractAbstractIn 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.
KeywordEigenvalue Fourth order equation Minimization problem Optimal lower bound
DOI10.1186/s13661-018-1110-z
Language英语
WOS IDBMC:10.1186/s13661-018-1110-z
PublisherSpringer International Publishing
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31500
Collection中国科学院数学与系统科学研究院
Affiliation1.
2.
Recommended Citation
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).
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