| 具非线性边界条件的半线性时滞微分方程边值问题奇摄动 |
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| 引用本文： | 任景莉,葛渭高.具非线性边界条件的半线性时滞微分方程边值问题奇摄动[J].应用数学和力学,2003,24(12):1285-1290. |
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| 作者姓名： | 任景莉 葛渭高 |
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| 作者单位： | 1.北京理工大学数学系, 北京 100081; |
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| 基金项目： | 国家自然科学基金资助项目(19871005) |
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| 摘 要： | 利用微分不等式理论研究了一类具非线性边界条件的半线性时滞微分方程边值问题.采用新的方法构造上下解,得到了此边值问题解的存在性的充分条件,并给出了解的一致有效渐近展开式.
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| 关 键 词： | 奇摄动 时滞微分方程 边值问题 一致有效渐近展开式 |
| 文章编号： | 1000-0887(2003)12-1285-06 |
| 收稿时间： | 2001-04-19 |
| 修稿时间： | 2001年4月19日 |
Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions |
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| REN Jing_li.Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions[J].Applied Mathematics and Mechanics,2003,24(12):1285-1290. |
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| Authors: | REN Jing_li |
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| Institution: | 1.Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China;2.Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China |
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| Abstract: | A boundary value problems for functional differenatial equations,with nonlinear boundary condition,is studied by the theorem of differential inequality.Using new method to construct the upper solution and lower solution,sufficient conditions for the existence of the problems' solution are established.A uniformly valid asymptotic expansions of the solution is also given. |
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| Keywords: | singular perturbation functional differential equation boundary value problem uniformly valid asymptotic expansion |
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