Analysis of collocation solutions for a class of functional equations with vanishing delays
文献类型：期刊论文
| 作者 | Brunner, Hermann1,2; Xie, Hehu3 ; Zhang, Ran4
|
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2011-04-01 |
| 卷号 | 31期号:2页码:698-718 |
| 关键词 | functional equation with vanishing delay q-difference equation uniqueness and regularity of solution collocation solutions optimal order of convergence integro-functional equation |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/drp051 |
| 英文摘要 | We study the existence, uniqueness and regularity properties of solutions for the functional equation y(t) = b(t)y(theta(t)) + f(t), t is an element of [0, T], where the delay function theta(t) vanishes at t = 0. Functional equations corresponding to the linear delay function theta(t) = qt (0 < q < 1) represent an important special case. We then analyse the optimal order of convergence of piecewise polynomial collocation approximations to solutions of these functional equations. The theoretical results are illustrated by extensive numerical examples. |
| 资助项目 | Natural Sciences and Engineering Research Council of Canada[DG A-9406] ; Hong Kong Research Grants Council ; National Nature Science Foundation of China[10801062] ; Jilin University ; K. C. Wong Education Foundation in Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000289166300015 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11490]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Brunner, Hermann |
| 作者单位 | 1.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China 3.Chinese Acad Sci, Lab Sci & Engn Comp, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Jilin Univ, Sch Math, Changchun 130012, Peoples R China |
| 推荐引用方式 GB/T 7714 | Brunner, Hermann,Xie, Hehu,Zhang, Ran. Analysis of collocation solutions for a class of functional equations with vanishing delays[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2011,31(2):698-718. |
| APA | Brunner, Hermann,Xie, Hehu,&Zhang, Ran.(2011).Analysis of collocation solutions for a class of functional equations with vanishing delays.IMA JOURNAL OF NUMERICAL ANALYSIS,31(2),698-718. |
| MLA | Brunner, Hermann,et al."Analysis of collocation solutions for a class of functional equations with vanishing delays".IMA JOURNAL OF NUMERICAL ANALYSIS 31.2(2011):698-718. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。