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| 具有非线性边界条件的奇摄动微分系统边值问题 | |
| 引用本文： | 温朝晖,陈丽华,欧阳成,莫嘉琪.具有非线性边界条件的奇摄动微分系统边值问题[J].数学研究,2011,44(3):296-301. |
| 作者姓名： | 温朝晖 陈丽华 欧阳成 莫嘉琪 |
| 作者单位： | 1. 安徽财经大学统计与应用数学学院应用数学研究所,安徽蚌埠,233030 2. 福建师范大学福清分校数学与计算机科学系,福建福清,350300 3. 湖州师范学院理学院,浙江湖州,313000 |
| 基金项目： | 国家自然科学基金项目，中国科学院战略性先导科技专项.应对气候变化的碳收支认证及相关问题项目，LASG国家重点实验室专项经费;浙江省自然科学基金项目，福建省教育厅基金(A类)项目，安徽高校省级自然科学研究项目(KJ2011A135;KJ20112003)资助课题 |
| 摘 要： | 研究了一类具有非线性边界条件的奇摄动半线性微分系统边值问题．利用边界层校正法构造了形式渐近解．并且在适当的假设下，用微分不等式理论，证明了解的存在性及其一致有效性． |
| 关 键 词： | 奇摄动 微分系统 边界层 |
Singularly Perturbed Boundary Value Problem of Differential System with Nonlinear Boundary Conditions |
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| Wen Zhaohui Chen Lihua Ouyang Cheng Mo Jiaqi.Singularly Perturbed Boundary Value Problem of Differential System with Nonlinear Boundary Conditions[J].Journal of Mathematical Study,2011,44(3):296-301. | |
| Authors: | Wen Zhaohui Chen Lihua Ouyang Cheng Mo Jiaqi |
| Institution: | Wen Zhaohui~1 Chen Lihua~2 Ouyang Cheng~3 Mo Jiaqi~(3,4) (1.School of Statistics & Applied Mathematics,Anhui University of Finance and Economics,Bengbu Anhui 233030,2.Department of Mathematics and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing Fujian 350300,3.Faculty of Science,Huzhou Teacher College,Huzhou Zhejiang 313000,4.Department of Mathematics,Anhui Normal University,Wuhu Anhui 241003) |
| Abstract: | A class of boundary problem with nonlinear boundary conditions for semilinear system is considered. By using the boundary layer correction method, the formal asymptotic solution is constructed. And under suitable conditions, using the theory of differential inequalities the existence and uniform validity are proved. |
| Keywords: | singular perturbation differential system boundary layer |
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