| 奇摄动积分微分方程非线性边值问题 |
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| 引用本文： | 吴钦宽. 奇摄动积分微分方程非线性边值问题[J]. 兰州大学学报(自然科学版), 2007, 43(4): 127-130 |
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| 作者姓名： | 吴钦宽 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,210013 |
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| 基金项目： | 江苏省高校自然科学基础研究资助项目（10471039）. |
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| 摘 要： | 利用微分不等式理论研究了一类Volterra型积分微分方程非线性边值问题．在适当条件下构造出问题的上、下解，得出解的存在性和渐近估计．
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| 关 键 词： | 奇摄动 积分微分方程 非线性边值问题 解的渐近估计 |
| 文章编号： | 0455-2059（2007）04-0127-04 |
| 修稿时间： | 2005-07-072006-02-28 |
Nonlinear boundary value problems for singularly perturbed integral differential equations |
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| WU Qin-kuan. Nonlinear boundary value problems for singularly perturbed integral differential equations[J]. Journal of Lanzhou University(Natural Science), 2007, 43(4): 127-130 |
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| Authors: | WU Qin-kuan |
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| Affiliation: | Department of Basic Courses, Nanjing Institute of Technology, Nanjing 210013, China |
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| Abstract: | Nonlinear boundary value problem for singularly perturbed integral differential equation of Volterra type by means of differential inequality theories was studied. The upper and lower solutions were constructed, and the existence and asymptotic estimates of the solution under suitable conditions were obtained. |
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| Keywords: | singular perturbation integral differential equation nonlinear boundary value problem asymptotic estimation of solution |
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