| 含有卷积核的线性Volterra积分微分方程的数值解 |
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| 引用本文： | 耿进龙 贾高. 含有卷积核的线性Volterra积分微分方程的数值解[J]. 华东工业大学学报, 2008, 30(1): 22-26 |
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| 作者姓名： | 耿进龙 贾高 |
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| 作者单位： | 上海理工大学理学院,上海200093 |
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| 摘 要： | 利用不动点定理证明了含有卷积核的线性Volterra积分微分方程古典解的存在性与唯一性．讨论了用Taylor公式求解该类方程的方法，并通过几个具体的例子说明这种方法的精确性、
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| 关 键 词： | 积分微分方程 存在性和唯一性 Taylor公式 卷积核 不动点定理 |
| 文章编号： | 1007-6735（2008）01-0022-05 |
| 收稿时间： | 2006-12-08 |
Numerical solution of Volterra integro-differential equations with convolution kernel |
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| GENG Jin-long, JIA Gao. Numerical solution of Volterra integro-differential equations with convolution kernel[J]. , 2008, 30(1): 22-26 |
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| Authors: | GENG Jin-long JIA Gao |
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| Abstract: | The existence and uniqueness of solutions for Volterra integro-differential equations with convolution kernel are proved by means of the fixed point theorem and a Taylor expansion approach is then applied to kind of equations. Numerical examples are presented to illustrate the accuracy of the method . |
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| Keywords: | integro-di fferential equations existence and uniqueness Taylor expansion convolu- tion kernel fixed point theorem |
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