| 奇异摄动二阶Robin边值问题正解的存在性 |
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| 引用本文： | 周哲彦,姚金霞.奇异摄动二阶Robin边值问题正解的存在性[J].福建师范大学学报(自然科学版),2009,25(6). |
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| 作者姓名： | 周哲彦 姚金霞 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 福建省科技厅基金资助项目，福建省教育厅基金资助项目 |
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| 摘 要： | 利用上下解方法研究了奇异摄动二阶非线性常微分方程Robin边值问题正解的存在性;同时,在适当的稳定性条件下,得到了该边值问题的精确解与退化解之间的误差估计.
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| 关 键 词： | 奇异摄动 上下解 正解 误差估计 |
Existence of Positive Solution of Singularly Perturbed Robin Boundary Value Problem for Second-order Differential Equation |
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| ZHOU Zhe-yan,YAO Jin-xia.Existence of Positive Solution of Singularly Perturbed Robin Boundary Value Problem for Second-order Differential Equation[J].Journal of Fujian Teachers University(Natural Science),2009,25(6). |
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| Authors: | ZHOU Zhe-yan YAO Jin-xia |
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| Institution: | ZHOU Zhe-yan,YAO Jin-xia(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
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| Abstract: | Using the method of upper and lower solutions,the existence of positive solution of singularly perturbed Robin boundary value problem for second-order ordinary differential equation is obtained.Moreover,the error estimate between the exact solution and the reduced solution is derived simultaneously under the suitable stability conditions. |
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| Keywords: | singular perturbation upper and lower solution positive solution error estimate |
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