| 一类奇摄动三阶非线性微分方程边值问题 |
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| 引用本文： | 吴钦宽. 一类奇摄动三阶非线性微分方程边值问题[J]. 南昌大学学报(理科版), 2006, 30(5): 426-429 |
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| 作者姓名： | 吴钦宽 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,211167 |
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| 基金项目： | 南京工程学院校科研和教改项目 |
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| 摘 要： | 以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题，在适当条件下，构造出问题的上下解，得出解的存在性和渐近估计。
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| 关 键 词： | 奇摄动 三阶微分方程 非线性边值问题 解的渐近估计 |
| 文章编号： | 1006-0464（2006）05-0426-04 |
| 收稿时间： | 2004-05-25 |
| 修稿时间： | 2004-05-25 |
A Class Boundary Value Problem with Singular Perturbation for Third Order Nonlinear Differential Equation |
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| WU Qin-kuan. A Class Boundary Value Problem with Singular Perturbation for Third Order Nonlinear Differential Equation[J]. Journal of Nanchang University(Natural Science), 2006, 30(5): 426-429 |
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| Authors: | WU Qin-kuan |
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| Affiliation: | Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China |
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| Abstract: | A class of singularly perturbed nonlinear boundary value problem for third - order nonlinear differential equation is studied by means of unknown function transformation ,the upper and lower solutions were constructed ,and existence and asymptotic estimates of solution under suitable conditions were obtained. |
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| Keywords: | singular perturbation third order differential equation nonlinear boundary value problem asymptotic estimation of solution |
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