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Title: On Bounded Entire Solutions of Integro-Differential Equations
Authors: 蔡隆義
Tsai, Long-Yi
Contributors: 應數系
Date: 1988
Issue Date: 2018-09-25 16:21:51 (UTC+8)
Abstract: 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.
Relation: Chinese Journal of Mathematics,16(4),265-288
AMS MathSciNet:MR1021312
Data Type: article
Appears in Collections:[應用數學系] 期刊論文

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