PERIODIC SUCCESSIVE APPROXIMATIONS AND INTERVAL HALVING

被引：18

作者：

Ronto, A. ^{[1
]}

Ronto, M. ^{[2
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, Brno 61662, Czech Republic

[2] Univ Miskolc, Dept Anal, H-3515 Miskolc, Hungary

来源：

MISKOLC MATHEMATICAL NOTES | 2012年 / 13卷 / 02期

关键词：

Periodic boundary value problems; parametrisation technique; periodic successive approximations; interval halving; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; EXISTENCE; SYSTEMS;

D O I：

10.18514/MMN.2012.562

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how a suitable interval halving and parametrisation technique can help to essentially improve the sufficient convergence condition for the periodic successive approximations dealing with periodic solutions of nonlinear non-autonomous systems of ordinary differential equations.

引用

页码：459 / 482

页数：24

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