| 非线性中立型延迟微分方程的散逸性 |
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| 引用本文： | 程珍,黄乘明.非线性中立型延迟微分方程的散逸性[J].系统仿真学报,2007,19(14):3184-3187. |
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| 作者姓名： | 程珍 黄乘明 |
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| 作者单位： | 华中科技大学数学系,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划;教育部留学回国人员科研启动基金 |
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| 摘 要： | 主要研究非线性中立型延迟微分方程本身及其数值方法的散逸性问题。首先,对此类中立型延迟微分方程理论解的散逸性给出了充分条件;随后,应用一类线性多步法求解至该类问题,证明了在适当条件下,其数值解也具有散逸性;最后,数值试验进一步验证了理论结果的正确性。
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| 关 键 词： | 非线性 中立型延迟微分方程 散逸性 线性多步法 |
| 文章编号： | 1004-731X（2007）14-3184-04 |
| 收稿时间： | 2006-06-05 |
| 修稿时间： | 2006-06-052006-08-14 |
Dissipativity for Nonlinear Neutral Delay Differential Equations |
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| CHENG Zhen,HUANG Cheng-ming.Dissipativity for Nonlinear Neutral Delay Differential Equations[J].Journal of System Simulation,2007,19(14):3184-3187. |
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| Authors: | CHENG Zhen HUANG Cheng-ming |
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| Institution: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | The dissipativity of theoretical solution and numerical solution of nonlinear neutral delay differential equations(NDDEs)was investigated.The sufficient conditions for the dissipativity of theoretical solution of the mentioned problem were given,and the numerical solution was dissipative in some proper conditions for a class of linear multistep methods when they were applied to these problems.The numerical tests were given that illustrates the results. |
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| Keywords: | nonlinear neutral delay differential equations dissipativity linear multistep methods |
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