SUCCESSIVE APPROXIMATIONS AND INTERVAL HALVING FOR INTEGRAL BOUNDARY VALUE PROBLEMS

被引：7

作者：

Ronto, M. ^{[1
]}

Varha, Y. ^{[2
]}

机构：

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

[2] Uzhgorod Natl Univ, Fac Math, UA-88000 Uzhgorod, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 02期

关键词：

integral boundary value problems; parametrization technique; successive approximations; interval halving; EXISTENCE;

D O I：

10.18514/MMN.2015.1708

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 parametrization technique can help to essentially improve the sufficient convergence condition for the successive approximations dealing with solutions of nonlinear non-autonomous systems of ordinary differential equations under integral boundary conditions.

引用

页码：1129 / 1152

页数：24

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