| 二阶非线性积分微分方程组边值问题解的渐近式 |
| |
| 引用本文： | 林苏榕. 二阶非线性积分微分方程组边值问题解的渐近式[J]. 系统科学与数学, 2010, 30(3): 358-369 |
| |
| 作者姓名： | 林苏榕 |
| |
| 作者单位： | 福建广播电视大学计算机系,福州,350003 |
| |
| 基金项目： | 国家重点基础研究发展计划项目，福建广播电视大学科研基金 |
| |
| 摘 要： | 研究n-维二阶非线性向量积分微分方程组边值问题的奇摄动,在适当的条件下,利用改进了的对角化方法、逐步逼近法和不动点定理,求得并证明非线性向量积分微分方程组边值问题解的存在性及其渐近表达式,并给出渐近估计.
|
| 关 键 词： | 积分微分方程 奇异摄动 边值问题 对角化方法. |
| 收稿时间： | 2008-07-24 |
| 修稿时间： | 2009-06-19 |
ASYMPTOTIC EXPRESSION OF THE SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER NONLINEAR INTERGRO-DIFFERENTIAL EQUATIONS |
| |
| LIN Surong. ASYMPTOTIC EXPRESSION OF THE SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER NONLINEAR INTERGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Systems Science and Mathematical Sciences, 2010, 30(3): 358-369 |
| |
| Authors: | LIN Surong |
| |
| Affiliation: | Department of Computer, Fujian Radio and TV University, Fuzhou 350003 |
| |
| Abstract: | The singular perturbation of boundary value problem for $n$-dimensional vector integro-differential equations is considered. Under appropriate conditions, by using the improved diagonalization method, the method of succesive approximation and the fixed point theorem, the existence of the solution of boundary value problem is proven, and the asymptotic expression of the solution is obtained. |
| |
| Keywords: | Integro-differential equation singular perturbation boundary value problem diagonalization method. |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
|
