| 二阶Volterra型积分微分方程奇摄动非线性边值问题解的惟一性 |
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| 引用本文： | 王国灿 丁传华. 二阶Volterra型积分微分方程奇摄动非线性边值问题解的惟一性[J]. 辽宁工学院学报, 2003, 23(4): 60-61,67 |
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| 作者姓名： | 王国灿 丁传华 |
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| 作者单位： | 大连铁道学院数理系，大连铁道学院数理系 辽宁大连 116028，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型积分微分方程奇摄动的非线性边值问题，以上下解为基础，建立了解的唯一性定理，在适当条件下，构造具体的上下解，得到了解的唯一性。结果表明这种技巧为奇摄动边值问题的唯一性研究提出了新的思路。
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| 关 键 词： | 二阶Volterra型积分微分方程 奇摄动 非线性边值问题 唯一性 |
| 文章编号： | 1005-1090(2003)04-0060-02 |
Uniqueness of Solution for Singular Perturbation Nonlinear Boundary Value Problemof Volterra type Integrodifferential Equation |
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| Abstract: | Nonlinear boundary value problems for second order Volterra type integrodifferential equation by means of differential inequality theories are studied.Based on the upper and lower solution, the uniqueness theorem is established. Specific upper and lower solutions are constructed, the uniqueness of solution is obtained. The result shows that it seems to be new to apply these techniques to solving the uniqueness of singularly perturbed boundary problem. |
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| Keywords: | Volterra type integrodifferential equation nonlinear boundary value problem upper and lower solution uniqueness |
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