| 某一类型积分微分方程非线性边值问题的奇摄动 |
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| 引用本文： | 金丽,王国灿.某一类型积分微分方程非线性边值问题的奇摄动[J].纺织高校基础科学学报,2006,19(3):241-244. |
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| 作者姓名： | 金丽 王国灿 |
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| 作者单位： | 大连交通大学,数学教研室,辽宁,大连,116028 |
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| 摘 要： | 利用微分不等式理论研究了二阶Volterra型积分微分方程非线性边值问题的解的存在性.在适当条件下,建立了解的渐近展开.构造具体的上下解,得到了解的存在性和解的一致有效估计.这种技巧为奇摄动边值问题的存在性和解的一致有效估计的研究提出了新的思路.
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| 关 键 词： | Volterra型积分微分方程 非线性边值问题 存在性和一致有效估计 上下解 |
| 文章编号： | 1006-8341（2006）03-0241-04 |
| 收稿时间： | 2006-04-12 |
| 修稿时间： | 2006年4月12日 |
Singular perturbation of Volterra type integro-differential equation for nonlinear boundary value problems |
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| JIN Li,WANG Guo-can.Singular perturbation of Volterra type integro-differential equation for nonlinear boundary value problems[J].Basic Sciences Journal of Textile Universities,2006,19(3):241-244. |
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| Authors: | JIN Li WANG Guo-can |
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| Affiliation: | Dept. of Applied Math. , Dalian Jiaotong University, Dalian, Liaoning 116028, China |
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| Abstract: | By means of differential inequality theories,the existence of solution for nonlinear boundary value problem of Volterra type equation is studied.Based on the suit condition,the asymptotic expand of solution is established.Specific upper and lower solutions are constructed,the existence and uniformly estimation of solution is obtained.The result shows that is seems to be new to apply these techniques to solving the existence and uniqueness of singularly perturbed boundary problem. |
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| Keywords: | Volterra type integro-differential equation nonlinear boundary value problem existence and uniformly valid estimation upper and lower solution method |
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