| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Shieh, Shih-Feng | |
| dc.date (日期) | 2022-10 | |
| dc.date.accessioned | 24-May-2024 11:34:23 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:23 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:23 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151274 | - |
| dc.description.abstract (摘要) | We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on lattices. We study the Laplacian with boundary conditions given by a linear combination of Dirichlet and Neumann conditions. In particular, we derive a secular equation and investigate the Laplacian operator's eigenvalues with different boundary conditions, including the interlacing property, the first eigenvalue gaps, and the monotonicity property. | |
| dc.format.extent | 99 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Taiwanese Journal of Mathematics, Vol.26, No.5, pp.1045-1068 | |
| dc.subject (關鍵詞) | discrete Laplacian; eigenvalue gaps; Eigenvalues | |
| dc.title (題名) | Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.11650/tjm/220202 | |
| dc.doi.uri (DOI) | https://doi.org/10.11650/tjm/220202 | |
