On the Attainable Order of Collocation Methods for the Neutral Functional-Differential Equations with Proportional Delays

被引：0
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作者：
Emiko Ishiwata
机构：
[1] Department of Information Sciences Faculty of Science Toho University 2-2-1 Miyama Funabashi Chiba 274-8510 Japan e-mail: ishiwata@is.sci.toho-u.ac.jp,
来源：
Computing | 2000年 / 64卷
关键词：
AMS Subject Classifications: 65R20, 45L10, 34K99.; Key Words: Neutral functional-differential and delay Volterra integro-differential equation, proportional delay, collocation and iterated collocation method, Padé approximant, attainable order.;
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摘要：
In this paper, we extend the recent results of H. Brunner in BIT (1997) for the DDE y′(t)= by(qt), y(0)=1 and the DVIE y(t)=1+∫0tby(qs)ds with proportional delay qt, 0<q≤1, to the neutral functional-differential equation (NFDE):
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页码：207 / 222
页数：15
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