Functional differential equations

被引：0
|
作者：
Jankowski, T [1 ]
机构：
[1] Gdansk Tech Univ, Dept Differential Equat, PL-80952 Gdansk, Poland
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2002年 / 52卷 / 03期
关键词：
quasilinearization; monotone iterations; superlinear convergence;
D O I：
10.1023/A:1021775712912
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.
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页码：553 / 563
页数：11
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