| Banach空间一阶非线性混合型积微分方程正解的存在性 |
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| 引用本文： | 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]. 山东大学学报(理学版), 2009, 44(8): 74-79 |
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| 作者姓名： | 娄国久 张兴秋 王建国 |
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| 作者单位： | 山东教育学院数学系;聊城大学数学学院; |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10671167) |
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| 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。
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| 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 |
| 收稿时间： | 2009-04-21 |
Existence of a positive solution for first order nonlinear impulsive singular differential equations of mixed type in Banach spaces |
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| LOU Guo-jiu,ZHANG Xing-qiu,WANG Jian-guo. Existence of a positive solution for first order nonlinear impulsive singular differential equations of mixed type in Banach spaces[J]. Journal of Shandong University, 2009, 44(8): 74-79 |
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| Authors: | LOU Guo-jiu ZHANG Xing-qiu WANG Jian-guo |
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| Affiliation: | 1.Department of Mathematics;Shandong College of Education;Jinan 250013;Shandong;China;2.School of Mathematics;Liaocheng University;Liaocheng 252059;China |
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| 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. |
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| Keywords: | impulsive singular integro-differential equation measure of noncompact-ness Schauder fixed point theorem Banach space positive solution |
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