Dissipativity of extended Pouzet-Runge-Kutta methods for neutral delay integro-differential equations

Dissipativity of extended Pouzet-Runge-Kutta methods for neutral delay integro-differential equations
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中性时滞积分微分方程的扩展 Pouzet-Runge-Kutta 法的耗散性

DOI:
10.1080/00207160.2013.867022
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发表时间:
2014
影响因子:
1.8
通讯作者:
Zhang Yujie
Zhang Yujie
中科院分区:
数学4区
文献类型:
--
作者:
Qi Rui;Hu Peng;Zhang Yujie

文献摘要

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研究了中立型延迟积分微分方程扩展Pouzet-Runge-Kutta方法的耗散性。在适当的条件下,得到了(k,l)-代数稳定的扩展Pouzet-Runge-Kutta方法的有限维和无限维耗散性结果.
This paper is concerned with dissipativity of extended Pouzet–Runge–Kutta methods for neutral delay integro-differential equations. The finite-dimensional and infinite-dimensional dissipativity results of the (k, l)-algebraically stable extended Pouzet–Runge–Kutta methods are obtained under suitable conditions.