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Banach空间一类奇异脉冲微分方程边值问题的正解
引用本文:邹玉梅. Banach空间一类奇异脉冲微分方程边值问题的正解[J]. 数学的实践与认识, 2010, 40(11)
作者姓名:邹玉梅
摘    要:讨论了Banach空间中一类具有奇异性脉冲微分方程的边值问题,利用M(o|¨)nch不动点定理,在与相应的线性算子谱半径有关的条件下,获得了该边值问题正解的存在性.

关 键 词:奇异方程  谱半径  不动点  边值问题  正解

The Positive Solution for a Class of Singular Boundary Value Problem of Impulsive Differential Equations in Banach Space
ZOU Yu-mei. The Positive Solution for a Class of Singular Boundary Value Problem of Impulsive Differential Equations in Banach Space[J]. Mathematics in Practice and Theory, 2010, 40(11)
Authors:ZOU Yu-mei
Abstract:This paper deals with a class of singular boundary value problems of impulsive differential equations.Using H.M(o|¨)nch fixed point theorem,we obtain the existence of solutions for such problems under some conditions concerning the spectral radius corresponding to the relevant linear operators.
Keywords:singular equation  spectral radius  fixed point  boundary value problem  positive solution
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