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題名 On the Emden-Fowler equation u″(t)u(t) = c1 + c2u`(t)2 with c1 ≥ 0, c2 ≥ 0
作者 Li, Meng-Rong
李明融
貢獻者 應用數學系
日期 2010-07
上傳時間 10-Jun-2015 16:56:55 (UTC+8)
摘要 In this article, we study the following initial value problem for the nonlinear equation. {u″u(t)=c1+c2u′(t)2,c1≥0,c2≥0, u(0)=u0,u′(0)=u1. We are interested in properties of solutions of the above problem. We find the life-span, blow-up rate, blow-up constant and the regularity, null point, critical point, and asymptotic behavior at infinity of the solutions. © 2010 Wuhan Institute of Physics and Mathematics.
關聯 Acta Mathematica Scientia, Volume 30, Issue 4, Pages 1227-1234
資料類型 article
DOI http://dx.doi.org/http://dx.doi.org/10.1016/S0252-9602(10)60119-1
dc.contributor 應用數學系
dc.creator (作者) Li, Meng-Rong
dc.creator (作者) 李明融zh_TW
dc.date (日期) 2010-07
dc.date.accessioned 10-Jun-2015 16:56:55 (UTC+8)-
dc.date.available 10-Jun-2015 16:56:55 (UTC+8)-
dc.date.issued (上傳時間) 10-Jun-2015 16:56:55 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/75659-
dc.description.abstract (摘要) In this article, we study the following initial value problem for the nonlinear equation. {u″u(t)=c1+c2u′(t)2,c1≥0,c2≥0, u(0)=u0,u′(0)=u1. We are interested in properties of solutions of the above problem. We find the life-span, blow-up rate, blow-up constant and the regularity, null point, critical point, and asymptotic behavior at infinity of the solutions. © 2010 Wuhan Institute of Physics and Mathematics.
dc.format.extent 236750 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Acta Mathematica Scientia, Volume 30, Issue 4, Pages 1227-1234
dc.title (題名) On the Emden-Fowler equation u″(t)u(t) = c1 + c2u`(t)2 with c1 ≥ 0, c2 ≥ 0
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/S0252-9602(10)60119-1
dc.doi.uri (DOI) http://dx.doi.org/http://dx.doi.org/10.1016/S0252-9602(10)60119-1en_US