| 一类具有非线性边界条件的二阶非线性微分方程的奇异摄动 |
| |
| 引用本文： | 黄晓秋.一类具有非线性边界条件的二阶非线性微分方程的奇异摄动[J].福建师大福清分校学报,1994(3):57-65. |
| |
| 作者姓名： | 黄晓秋 |
| |
| 基金项目： | 福建省自然科学基金资助项目 |
| |
| 摘 要： | 本研究含小参数并具有非线性边界条件的二阶非线性微分方程ε′y″=h(t,y,εy′，ε）-10为任意常数，在一定的条件下，应用微分不等式理论证明了摄动解的存在，并获得渐近估计式。
|
| 关 键 词： | 非线性常微分方程 微分不等式 奇异摄动 渐近估计式 |
Singular Perturbaions of Certain Second-Order Nonlinear Differential Equations with Nonlinear Boundary Conditions |
| |
| Huang Xiaoqiu.Singular Perturbaions of Certain Second-Order Nonlinear Differential Equations with Nonlinear Boundary Conditions[J].Journal of Fuqing Branch of Fujian Normal University,1994(3):57-65. |
| |
| Authors: | Huang Xiaoqiu |
| |
| Institution: | Huang Xiaoqiu |
| |
| Abstract: | In this paper we discuss the singular perturbations of second-order nonlinear differential equations involving a small parameter and with nonlinear boundary conditions as follows:where r>0 is a arbitrarily costant. Under some conditions and appliying the therorems of differential inequality, the existence of singular solution is proved and the asymptatic estimation is obtained. |
| |
| Keywords: | nonlinear differential equation differential inequality sinqulary perturbation asymptatic estimation |
| 本文献已被 CNKI 维普 等数据库收录！ |
