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.
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页码：1129 / 1152
页数：24
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