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題名 On Bounded Entire Solutions of Integro-Differential Equations
作者 蔡隆義
Tsai, Long-Yi
貢獻者 應數系
日期 1988
上傳時間 25-Sep-2018 16:21:51 (UTC+8)
摘要 The author considers two types of integro-differential equations: (a) Δu+f(x,u)+∫ R n p(x,y)g(u)dy=0 and (b) u t =Δu+f(x,t,u)+∫ R n q(x,t,y)g(u)dy=0 . Assuming the existence of upper and lower solutions, the author proves the existence of classical solutions of (a), (b) by the method of monotone iteration. The main portion of the paper is devoted to examples in which the author constructs upper and lower radial solutions by solving ordinary integro-differential equations. The title of this paper is misleading because there is no discussion regarding analyticity anywhere in the results.
關聯 Chinese Journal of Mathematics,16(4),265-288
AMS MathSciNet:MR1021312
資料類型 article
dc.contributor 應數系
dc.creator (作者) 蔡隆義
dc.creator (作者) Tsai, Long-Yi
dc.date (日期) 1988
dc.date.accessioned 25-Sep-2018 16:21:51 (UTC+8)-
dc.date.available 25-Sep-2018 16:21:51 (UTC+8)-
dc.date.issued (上傳時間) 25-Sep-2018 16:21:51 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/120126-
dc.description.abstract (摘要) The author considers two types of integro-differential equations: (a) Δu+f(x,u)+∫ R n p(x,y)g(u)dy=0 and (b) u t =Δu+f(x,t,u)+∫ R n q(x,t,y)g(u)dy=0 . Assuming the existence of upper and lower solutions, the author proves the existence of classical solutions of (a), (b) by the method of monotone iteration. The main portion of the paper is devoted to examples in which the author constructs upper and lower radial solutions by solving ordinary integro-differential equations. The title of this paper is misleading because there is no discussion regarding analyticity anywhere in the results.en_US
dc.format.extent 161 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Chinese Journal of Mathematics,16(4),265-288
dc.relation (關聯) AMS MathSciNet:MR1021312
dc.title (題名) On Bounded Entire Solutions of Integro-Differential Equations
dc.type (資料類型) article