| 奇摄动三阶非线性边值问题 |
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| 引用本文： | 吴钦宽.奇摄动三阶非线性边值问题[J].南京工程学院学报(自然科学版),2008,6(1):1-7. |
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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： | 江苏省省属高校自然科学基础研究项目 |
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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．然后，运用微分不等式理论，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： | 1672-2558(2008)01-0001-07 |
| 修稿时间： | 2007年10月17 |
On Problems of Third Order Nonlinear Boundary Value of Singular Perturbation |
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| WU Qin-kuan.On Problems of Third Order Nonlinear Boundary Value of Singular Perturbation[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2008,6(1):1-7. |
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| Authors: | WU Qin-kuan |
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| Institution: | WU Qin-kuan(Dept.of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China) |
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| Abstract: | This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function.Upper and lower solutions were worked out under appropriate circumstances.Then the existence and asymptotic estimates of solutions were obtained by utilizing the theory of differential inequalities. |
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| Keywords: | singular perturbation third order differential equation nonlinear boundary value problem asymptotic estimation of solution |
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