Banach空间一阶非线性混合型积微分方程正解的存在性

J4 ›› 2009, Vol. 44 ›› Issue (8): 74-79.

Banach空间一阶非线性混合型积微分方程正解的存在性

娄国久张兴秋王建国

娄国久王建国：山东教育学院数学系, 山东济南 250013；张兴秋：聊城大学数学学院, 山东聊城 252059

收稿日期:2009-04-21 出版日期:2009-08-16 发布日期:2009-11-08

Existence of a positive solution for first order nonlinear impulsive singular differential equations of mixed type in Banach spaces

Received:2009-04-21 Online:2009-08-16 Published:2009-11-08
About author:LOU Guojiu(1950-), Female, Associate Professor, engages in non-linear functional analysis. Email: jgw0801@163.com
Supported by:
Supported by the National Natural Science Foundat ion of China(10671167)

摘要/Abstract

摘要：

通过构造一个闭凸集合并利用全连续算子的不动点理论,对Banach空间中混合型一阶非线性奇异脉冲积微分方程进行了研究, 获得了正解的存在性结果。

关键词: 脉冲奇异积微分方程;非紧性测度;Schauder不动点定理;Banach空间;正解

Abstract:

By constructing a closed convex set and using the fixed point theory of completely continuous operators, the existence of positive solutions for an initial value problems of first order nonlinear impulsive singular integro-differential equations in a Banach space are obtained.

Key words: impulsive singular integro-differential equation; measure of noncompact-ness; Schauder fixed point theorem; Banach space; positive solution

中图分类号:

O175

娄国久张兴秋王建国. Banach空间一阶非线性混合型积微分方程正解的存在性[J]. J4, 2009, 44(8): 74-79.

LOU Guo-Jiu, ZHANG Xin-Qiu, WANG Jian-Guo. Existence of a positive solution for first order nonlinear impulsive singular differential equations of mixed type in Banach spaces[J]. J4, 2009, 44(8): 74-79.

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