| 一类三点边值问题的微分不等式及其奇异摄动 |
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| 引用本文： | 张琼渊,彭寅飞. 一类三点边值问题的微分不等式及其奇异摄动[J]. 福建师范大学学报(自然科学版), 2008, 24(1): 31-35 |
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| 作者姓名： | 张琼渊 彭寅飞 |
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| 作者单位： | 1. 福建师范大学数学与计算机科学学院,福建,福州,350007
2. 北京理工大学理学院,北京,100081 |
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| 基金项目： | 福建省科技厅基金资助项目(2005K028)，福建省教育厅基金资助项目(JB06098)，福建省自然科学基金资助项目(S0650010) |
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| 摘 要： | 在已有的理论基础上研究二阶非线性微分方程三点边值问题的微分不等式理论与解的存在性.然后利用所得的结果研究二阶拟线性微分方程三点边值问题的奇异摄动现象及解关于退化解的误差估计.
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| 关 键 词： | 三点边值问题 二阶 微分不等式 奇异摄动 |
| 文章编号： | 1000-5277（2008）01-0031-05 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-01-18 |
Differential Inequalities and Singular Perturbation for a Class of Three-pointed Boundary Value Problem |
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| ZHANG Qiong-yuan,PENG Yin-fei. Differential Inequalities and Singular Perturbation for a Class of Three-pointed Boundary Value Problem[J]. Journal of Fujian Teachers University(Natural Science), 2008, 24(1): 31-35 |
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| Authors: | ZHANG Qiong-yuan PENG Yin-fei |
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| Abstract: | The theory of differential inequalities and the existence of solutions of a class of three-pointed boundary value problem for second order nonlinear differential equations are considered baseing on the existenced results.Then the results obtained is applied to research the singular perturbation differential equation of three-pointed boundary value problem for second order selinear differential equations.Furthermore,error estimate of the solution is gived. |
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| Keywords: | three-pointed boundary value problem second order differential inequalities singular perturbation |
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