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负指数的脉冲EMDEN-FOWLER方程奇异边值问题的正解
引用本文:代丽美.负指数的脉冲EMDEN-FOWLER方程奇异边值问题的正解[J].应用泛函分析学报,2007,9(1):40-55.
作者姓名:代丽美
作者单位:北京师范大学数学科学学院,北京,100875
摘    要:利用不动点定理得到了脉冲奇异混合边值问题的上下解方法,并且利用此方法得到了负指数的脉冲Emden-Fowler方程奇异混合边值问题正解存在的充分必要条件.

关 键 词:脉冲奇异边值问题  正解  上下解
文章编号:1009-1327(2007)01-0040-16
修稿时间:2006年3月22日

Positive Solutions of Singular Impulsive Emden-Fowler Boundary Value Problem with Negative Exponent
DAI Li-mei.Positive Solutions of Singular Impulsive Emden-Fowler Boundary Value Problem with Negative Exponent[J].Acta Analysis Functionalis Applicata,2007,9(1):40-55.
Authors:DAI Li-mei
Institution:School of Mathematical Sciences, Beijing Normal University, Belting 100875, China
Abstract:In this paper, we first give the method of lower and upper solutions for the existence of positive solutions to a singular impulsive boundary value problem by means of the fixed point theorem, then obtain a necessary and sufficient condition for the existence of positive solution of Emden-Fowler singular impulsive boundary value problem by using the method of lower and upper solutions.
Keywords:singular impulsive boundary value problem  lower and upper solution  positive solution
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