Periodic boundary value problems for functional differential equations

被引：1

作者：

Jankowski, T ^{[1
]}

机构：

[1] Gdansk Tech Univ, Dept Differential Equat, PL-80952 Gdansk, Poland

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2002年 / 9卷 / 03期

关键词：

quasilinearization; periodic boundary value problems; functional differential equations; monotone iterations; semi-superlinear convergence;

D O I：

10.36045/bbms/1102715070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the method of quasilinearization has been extended to periodic boundary value problems of nonlinear functional differential equations. It is shown that monotone iterations converge to the unique solution and this convergence is semi-superlinear.

引用

页码：455 / 464

页数：10

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