dc.contributor | 應數系 | |
dc.creator (作者) | 蔡隆義 | |
dc.creator (作者) | Tsai, Long-Yi | |
dc.date (日期) | 1989 | |
dc.date.accessioned | 25-Sep-2018 16:21:36 (UTC+8) | - |
dc.date.available | 25-Sep-2018 16:21:36 (UTC+8) | - |
dc.date.issued (上傳時間) | 25-Sep-2018 16:21:36 (UTC+8) | - |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/120123 | - |
dc.description.abstract (摘要) | The paper deals with the boundary value problem (1) $-\\Delta u=f(x,u,K(u))$ in $\\Omega$, (2) $u=g$ on $\\partial\\Omega$, where $\\Omega\\subset{\\bf R}^n$, $n\\geq 2$, is a bounded domain and $K(u)$ a nonlinear integral operator. The main attention of the author is concentrated on the existence of multiple solutions of the problem considered. By the constructive method the existence of a maximal (minimal) solution is proved, by an application of a variational equation the existence of multiple solutions is proved, and by an application of the topological degree arguments the existence of a multiple positive solution is proved. The paper contains some misprints and unclear statements. | en_US |
dc.format.extent | 161 bytes | - |
dc.format.mimetype | text/html | - |
dc.relation (關聯) | Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141 | |
dc.relation (關聯) | AMS MathSciNet:MR1042424 | |
dc.title (題名) | Multiple solutions of nonlinear integro-differential equations | |
dc.type (資料類型) | article | |