| 一类奇摄动积分微分方程边值问题 |
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| 引用本文： | 黄香蕉,龚灏. 一类奇摄动积分微分方程边值问题[J]. 成都理工大学学报(自然科学版), 2005, 32(3): 328-330 |
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| 作者姓名： | 黄香蕉 龚灏 |
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| 作者单位： | 成都理工大学信息管理学院,成都,610059;南昌航空工业学院,南昌,330034;成都理工大学信息管理学院,成都,610059 |
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| 摘 要： | 研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题.首先,使用伸长变量和边界层矫正法,构造出了奇摄动问题的形式渐近解;然后,运用微分不等式理论,证明了形式渐近解的一致有效性,并得出了解得任意阶的一致有效展开式.
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| 关 键 词： | 奇摄动 积分微分方程 边值问题 混合边界 微分不等式 |
| 文章编号： | 1671-9727(2005)03-0328-03 |
| 修稿时间： | 2004-04-29 |
A class of singularly perturbed integral differential equation boundary value problem |
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| HUANG Xiang-jiao,Gong Hao. A class of singularly perturbed integral differential equation boundary value problem[J]. Journal of Chengdu University of Technology: Sci & Technol Ed, 2005, 32(3): 328-330 |
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| Authors: | HUANG Xiang-jiao Gong Hao |
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| Abstract: | This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions. Using the stretched variable and the method of boundary layer correction, the formal asymptotic expansion for the solution of the problem is obtained. And then, the uniform validity of solution is proved and the uniform valid asymptotic expansions of arbitrary order are obtained by using the theories of differential inequalities. |
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| Keywords: | singular perturbation integral differential equation boundary value problem mixed boundary differential inequality |
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