Analysis of continuous collocation solutions for a kind of Volterra functional integral equations with proportional delay

被引：18

作者：

Yang, Kai ^{[1
]}

Zhang, Ran ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 236卷 / 05期

关键词：

Volterra functional integral equations; Proportional delay; Regularity of solutions; Collocation solutions; VANISHING DELAYS;

D O I：

10.1016/j.cam.2011.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence, uniqueness and regularity of solutions for a kind of Volterra functional integral equations with proportional delay qt (0 < q < 1), t is an element of vertical bar 0, T vertical bar. We analyze the convergence of the piecewise linear collocation method. Several numerical experiments are used to illustrate theoretical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：743 / 752

页数：10

共 9 条

[1] Brunner, 2010, 7 LECTIRES THEORY NU
[2] Analysis of collocation solutions for a class of functional equations with vanishing delays
Brunner, Hermann
Xie, Hehu
Zhang, Ran
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 31 (02) : 698 - 718
[3] Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays
Brunner, Hermann
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2009, 4 (01) : 3 - 22
[4] Fox L., 1971, Journal of the Institute of Mathematics and Its Applications, V8, P271
[5] ISERLES A, 1997, STATE ART NUMERICAL
[6] Iserles A., 1993, EUR J APPL MATH, V4, P1, DOI [DOI 10.1017/S0956792500000966), DOI 10.1017/S0956792500000966, 10.1017/S0956792500000966]
[7] ISERLES A, 1994, ANN NUMER MATH, V1, P133
[8] Volterra V., 1897, ANN MAT PUR APPL, V25, P139, DOI DOI 10.1007/BF02580504
[9] YANG K, FRONT MATH CHI UNPUB

← 1 →