| dc.contributor | 應數系 | |
| dc.creator (作者) | 李明融 | zh_TW |
| dc.creator (作者) | Li, Meng-Rong | en_US |
| dc.date (日期) | 2004 | |
| dc.date.accessioned | 28-Sep-2018 16:20:11 (UTC+8) | - |
| dc.date.available | 28-Sep-2018 16:20:11 (UTC+8) | - |
| dc.date.issued (上傳時間) | 28-Sep-2018 16:20:11 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/120191 | - |
| dc.description.abstract (摘要) | The author studies the initial value problem for a second order nonlinear ordinary differential equation of the form u ′′ −u p =0 with p∈(0,1) and p∈(1,∞) . The author discusses the existence, blow-up of solutions and an estimate of their life span. This paper tries to cover a particular case of previous studies, namely what the author calls "the lower dimensional case of the semilinear wave equation``. The analysis is standard and it mainly uses energy estimates to analyse the behaviour of solutions of the above "conservative`` system. | zh_TW |
| dc.description.abstract (摘要) | In this paper we work with the ordinary equation u ′′ −u p = 0 and obtain some interesting phenomena concerning blow-up, blow-up rate, life-span, zeros, critical points and the asymptotic behavior at infinity of solutions to this equation. | en_US |
| dc.format.extent | 430280 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Bulletin of the Institute of Mathematics. Academia Sinica (Bull. Inst. Math. Acad. Sinica), Vol. 32 No. 3, 145-172 | |
| dc.relation (關聯) | AMS MathSciNet:MR2095180 | |
| dc.title (題名) | On the positive solutions of the differential equation $u``-u^p=0$. | en_US |
| dc.type (資料類型) | article | |
