| 非线性奇摄动边值问题的叠层解 |
| |
| 引用本文： | 张汉林, 莫嘉琪. 非线性奇摄动边值问题的叠层解[J]. 北京工业大学学报, 2007, 33(1): 99-103. |
| |
| 作者姓名： | 张汉林 莫嘉琪 |
| |
| 作者单位： | 北京工业大学,应用数理学院,北京,100022;安徽师范大学,数学系,安徽,芜湖,241000 |
| |
| 基金项目： | 国家自然科学基金资助(90111011);;国家重点基础研究发展计划项目资助(2003CB415101-03和2004CB418304);;中国科学院创新方向性项目资助(KZCX3-SW-221) |
| |
| 摘 要： | 本文研究了一类非线性方程奇摄动问题.在适当的条件下,利用伸长变量构造了问题具有叠层解的形式渐近展开式.利用微分不等式理论,证明了该展开式的一致有效性.本文方法和结果对非线性奇异摄动边值的研究具有参考价值.
|
| 关 键 词： | 非线性微分方程 边值问题 奇摄动 |
| 文章编号： | 0254-0037（2007）01-0099-05 |
| 收稿时间： | 2005-08-29 |
| 修稿时间： | 2005-08-29 |
The Overlaping Layer Solution to Nonlinear Singularly Perturbed Boundary Value Problem |
| |
| ZHANG Han-lin, MO Jia-qi. The Overlaping Layer Solution to Nonlinear Singularly Perturbed Boundary Value Problem[J]. Journal of Beijing University of Technology, 2007, 33(1): 99-103. |
| |
| Authors: | ZHANG Han-lin MO Jia-qi |
| |
| Affiliation: | College of Applied Science;Beijing University of Technology;Beijing 100022;China;Department of Mathematics;Anhui Normal University;Wuhu 241000;China |
| |
| Abstract: | A singularly perturbed problem of the nonlinear equation is considered. Under suitable conditions, using the stretched variables the formal asymptotic expansion with the overlapping layer, a solution to is pro-vided. And using the theory of differential inequalities, the uniformly valid behavior of its expansion is proved. The method and the result is meaningful for the study of nonlinear singularly perturbed boundary val-ue problems. |
| |
| Keywords: | nonlinear differential equation boundary value problem singular perturbation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《北京工业大学学报》浏览原始摘要信息 |
|
点击此处可从《北京工业大学学报》下载全文 |
