ON THE PARAMETRIZATION OF BOUNDARY-VALUE PROBLEMS WITH THREE-POINT NON-LINEAR RESTRICTIONS

被引：7
|
作者：
Ronto, Miklos [1 ]
Marynets, K. [2 ]
机构：
[1] Univ Miskolc, Dept Anal, H-3515 Miskolc, Hungary
[2] Uzhgorod Natl Univ, Uzhgorod, Ukraine
来源：
MISKOLC MATHEMATICAL NOTES | 2012年 / 13卷 / 01期
关键词：
three-point non-linear boundary-value problem; successive approximations; numerical-analytic method; determining system;
D O I：
10.18514/MMN.2012.444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain some results concerning the solutions of certain types of three-point nonlinear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.
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页码：91 / 106
页数：16
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