| 高阶脉冲常微分方程边值问题解的存在性 |
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| 引用本文： | 张祥. 高阶脉冲常微分方程边值问题解的存在性[J]. 江西师范大学学报(自然科学版), 1992, 16(4): 325-330 |
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| 作者姓名： | 张祥 |
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| 作者单位： | 安徽师大数学系 |
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| 摘 要： | 本文利用上、下解方法研究一类 n 阶脉冲微分方程边值问题解的存在性,并运用所得结果研究了一类相应的奇摄动问题的具有边界层和脉冲层现象的解的一致有效估计.
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| 关 键 词： | 边值问题 下解 存在性 常微分方程 |
The Existence of Solutions of the Boundary Value Problems for High Order Impulsive Ordinary Differental Equations |
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| Zhang Xiang. The Existence of Solutions of the Boundary Value Problems for High Order Impulsive Ordinary Differental Equations[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 1992, 16(4): 325-330 |
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| Authors: | Zhang Xiang |
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| Affiliation: | Dept.of Math.of Anhui Normal University |
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| Abstract: | In this paper,using the method of upper and lower solutions we investigate the exis- tence of solutions of the boundary value problems for a class of high order impulsive differential equa- tions.Then,making use of the result obtained we investigate the uniformly valid asymptotic estimation of solutions imvolving boundary and impulsive layer phenomena for a class of corresponding singular perturbation problems. |
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| Keywords: | high ordef impulsive equation boundary value problem upper and lower solutions existence singular perturbation |
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