| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Lin, Huey-Er;Shieh, Shih-Feng | |
| dc.date (日期) | 2021-04 | |
| dc.date.accessioned | 24-May-2024 11:34:36 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:36 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:36 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151286 | - |
| dc.description.abstract (摘要) | In this paper, we consider the hermitian Riccati difference equations. Analogous to a Riccati differential equation, there is a connection between a Riccati difference equation and its associated linear difference equation. Based on the linear difference equation, we can obtain an explicit representation for the solution of the Riccati difference equation and define the extended solution. Further, we can characterize the asymptotic state of the extended solution and the rate of convergence. Constant equilibrium solutions, periodic solutions and closed limit cycles are exhibited in the investigation of asymptotic behavior of the hermitian Riccati difference equations. | |
| dc.format.extent | 101 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Discrete and Continuous Dynamical Systems-Series B, Vol.26, No.4, pp.2037-2053 | |
| dc.subject (關鍵詞) | Riccati difference equations; hermitian Riccati difference equations; Riccati differential equations; the extended solution; asymptotic behavior | |
| dc.title (題名) | Asymptotic dynamics of hermitian Riccati difference equations | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.3934/dcdsb.2020365 | |
| dc.doi.uri (DOI) | https://doi.org/10.3934/dcdsb.2020365 | |
