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 |
| DOI | 10.1186/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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