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| Volterra泛函微分方程单支θ-方法的散逸性 | |
| 引用本文： | 刘学泳,文立平. Volterra泛函微分方程单支θ-方法的散逸性[J]. 湖南农业大学学报(自然科学版), 2007, 33(4): 489-491 |
| 作者姓名： | 刘学泳 文立平 |
| 作者单位： | 湘潭大学,数学与计算科学学院,湖南,湘潭,411105;湖南科技大学,数学与计算科学学院,湖南,湘潭,411201;湘潭大学,数学与计算科学学院,湖南,湘潭,411105 |
| 基金项目： | 国家自然科学基金项目(10571147)，湖南省教育厅项目(05C194) |
| 摘 要： | 研究了一类Volterra泛函微分方程本身及数值方法的散逸性问题.给出了1个关于此类问题本身散逸性的充分条件,得到了求解此类问题的单支方法的数值散逸性结果.此结果表明所考虑的数值方法继承了方程本身的散逸性. |
| 关 键 词： | Volterra泛函微分方程 数值方法 单支θ-方法 散逸性 |
| 文章编号： | 1007-1032（2007）04-0489-03 |
| 修稿时间： | 2006-12-15 |
Dissipativity of one-lag methods for volterra functional differential equations |
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| LIU Xue-yong,WEN Li-ping. Dissipativity of one-lag methods for volterra functional differential equations[J]. Journal of Hunan Agricultural University, 2007, 33(4): 489-491 | |
| Authors: | LIU Xue-yong WEN Li-ping |
| Affiliation: | 1 .College of Mathematics and Computing Science, Xiangtan University, Xiangtan, Hunan 411105, China; 2.College of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan 411201, China |
| Abstract: | Research on volterra functional differential equations itselves and its numerical dissipativity was done.After a sufficient condition for dissipativity of a class of such equations was presented.Dissipativity of One-lag method for Volterra functional differential was obtained.This result shows that the numerical method has inherited the dissipativity of Volterra functional differential equations. |
| Keywords: | Volterra functional differential equations numerical methods one-lag0-method dissipativity |
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