KMS Of Academy of mathematics and systems sciences, CAS
| Optimal lower bound for the first eigenvalue of fourth order measure differential equation | |
| Lijuan,Zhou1; Gang,Meng2 | |
| 2018-12-12 | |
| Source Publication | Boundary Value Problems
 |
| ISSN | 1687-2770 |
| Volume | 2018Issue:1 |
| Abstract | 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. |
| Keyword | Eigenvalue Fourth order equation Minimization problem Optimal lower bound |
| DOI | 10.1186/s13661-018-1110-z |
| Language | 英语 |
| WOS ID | BMC:10.1186/s13661-018-1110-z |
| Publisher | Springer International Publishing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31500 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1. 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). |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment