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https://ah.lib.nccu.edu.tw/handle/140.119/76965
題名: | Blow-up solutions of nonlinear differential equations | 作者: | Tsai, Long Yi 蔡隆義 |
貢獻者: | 應數系 | 關鍵詞: | Asymptotic stability; Differential equations; Problem solving; Blow-up solution; Global solution; Nonlinear equations | 日期: | Oct-2005 | 上傳時間: | 27-Jul-2015 | 摘要: | We consider the initial value problems for second order nonlinear differential equations of the form|u′|m-2u′′=upand the systemui″=fi(u1,u2),i=1,2.By using the energy method, some blow-up properties such as the life span, blow-up rates and blow-up constants are given and the asymptotic behavior of the global solution is also discussed. © 2004 Elsevier Inc. All rights reserved. | 關聯: | Applied Mathematics and Computation, 169(1), 366-387 | 資料類型: | article | DOI: | http://dx.doi.org/10.1016/j.amc.2004.09.085 |
Appears in Collections: | 期刊論文 |
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